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Finding the Third Proportional to 983,544,984 and 1,605,870,417.38

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Solution

The third proportional to 983,544,984 and 1,605,870,417.38 is: 2,621,964,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,544,984 : 1,605,870,417.38 = 1,605,870,417.38 : x
  2. Step 2: Convert to fraction form
    983,544,984/1,605,870,417.38 = 1,605,870,417.38/x
  3. Step 3: Cross multiply
    983,544,984x = 1,605,870,417.38 × 1,605,870,417.38
  4. Step 4: Simplify right side
    983,544,984x = 2,578,819,797,400,156,672
  5. Step 5: Solve for x
    x = 2,578,819,797,400,156,672/983,544,984
  6. Step 6: Final answer
    x = 2,621,964,261.27

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.