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Finding the Third Proportional to 586,920 and 932,907

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Solution

The third proportional to 586,920 and 932,907 is: 1,482,851.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,920 : 932,907 = 932,907 : x
  2. Step 2: Convert to fraction form
    586,920/932,907 = 932,907/x
  3. Step 3: Cross multiply
    586,920x = 932,907 × 932,907
  4. Step 4: Simplify right side
    586,920x = 870,315,470,649
  5. Step 5: Solve for x
    x = 870,315,470,649/586,920
  6. Step 6: Final answer
    x = 1,482,851.96

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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.