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Finding the Third Proportional to 586,899 and 932,877

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Solution

The third proportional to 586,899 and 932,877 is: 1,482,809.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,899 : 932,877 = 932,877 : x
  2. Step 2: Convert to fraction form
    586,899/932,877 = 932,877/x
  3. Step 3: Cross multiply
    586,899x = 932,877 × 932,877
  4. Step 4: Simplify right side
    586,899x = 870,259,497,129
  5. Step 5: Solve for x
    x = 870,259,497,129/586,899
  6. Step 6: Final answer
    x = 1,482,809.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.