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Finding the Third Proportional to 1,009,666,685 and 1,508,935,197

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Solution

The third proportional to 1,009,666,685 and 1,508,935,197 is: 2,255,086,220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,666,685 : 1,508,935,197 = 1,508,935,197 : x
  2. Step 2: Convert to fraction form
    1,009,666,685/1,508,935,197 = 1,508,935,197/x
  3. Step 3: Cross multiply
    1,009,666,685x = 1,508,935,197 × 1,508,935,197
  4. Step 4: Simplify right side
    1,009,666,685x = 2,276,885,428,745,428,736
  5. Step 5: Solve for x
    x = 2,276,885,428,745,428,736/1,009,666,685
  6. Step 6: Final answer
    x = 2,255,086,220.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.