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Finding the Third Proportional to 1,357,922 and 2,976,988

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Solution

The third proportional to 1,357,922 and 2,976,988 is: 6,526,484.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357,922 : 2,976,988 = 2,976,988 : x
  2. Step 2: Convert to fraction form
    1,357,922/2,976,988 = 2,976,988/x
  3. Step 3: Cross multiply
    1,357,922x = 2,976,988 × 2,976,988
  4. Step 4: Simplify right side
    1,357,922x = 8,862,457,552,144
  5. Step 5: Solve for x
    x = 8,862,457,552,144/1,357,922
  6. Step 6: Final answer
    x = 6,526,484.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.