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Finding the Third Proportional to 689,809,854 and 1,041,876,550

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Solution

The third proportional to 689,809,854 and 1,041,876,550 is: 1,573,631,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,809,854 : 1,041,876,550 = 1,041,876,550 : x
  2. Step 2: Convert to fraction form
    689,809,854/1,041,876,550 = 1,041,876,550/x
  3. Step 3: Cross multiply
    689,809,854x = 1,041,876,550 × 1,041,876,550
  4. Step 4: Simplify right side
    689,809,854x = 1,085,506,745,439,902,464
  5. Step 5: Solve for x
    x = 1,085,506,745,439,902,464/689,809,854
  6. Step 6: Final answer
    x = 1,573,631,833.68

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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.