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Finding the Third Proportional to 402,060,218 and 870,883,117

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Solution

The third proportional to 402,060,218 and 870,883,117 is: 1,886,377,635.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,060,218 : 870,883,117 = 870,883,117 : x
  2. Step 2: Convert to fraction form
    402,060,218/870,883,117 = 870,883,117/x
  3. Step 3: Cross multiply
    402,060,218x = 870,883,117 × 870,883,117
  4. Step 4: Simplify right side
    402,060,218x = 758,437,403,475,635,712
  5. Step 5: Solve for x
    x = 758,437,403,475,635,712/402,060,218
  6. Step 6: Final answer
    x = 1,886,377,635.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.