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Finding the Third Proportional to 685,755,872 and 1,035,011,120

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Solution

The third proportional to 685,755,872 and 1,035,011,120 is: 1,562,141,954.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,755,872 : 1,035,011,120 = 1,035,011,120 : x
  2. Step 2: Convert to fraction form
    685,755,872/1,035,011,120 = 1,035,011,120/x
  3. Step 3: Cross multiply
    685,755,872x = 1,035,011,120 × 1,035,011,120
  4. Step 4: Simplify right side
    685,755,872x = 1,071,248,018,523,654,400
  5. Step 5: Solve for x
    x = 1,071,248,018,523,654,400/685,755,872
  6. Step 6: Final answer
    x = 1,562,141,954.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.