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Finding the Third Proportional to 685,755,876 and 1,035,011,126

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Solution

The third proportional to 685,755,876 and 1,035,011,126 is: 1,562,141,963.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,755,876 : 1,035,011,126 = 1,035,011,126 : x
  2. Step 2: Convert to fraction form
    685,755,876/1,035,011,126 = 1,035,011,126/x
  3. Step 3: Cross multiply
    685,755,876x = 1,035,011,126 × 1,035,011,126
  4. Step 4: Simplify right side
    685,755,876x = 1,071,248,030,943,787,904
  5. Step 5: Solve for x
    x = 1,071,248,030,943,787,904/685,755,876
  6. Step 6: Final answer
    x = 1,562,141,963.98

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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.