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Finding the Third Proportional to 584,585 and 930,906

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Solution

The third proportional to 584,585 and 930,906 is: 1,482,395.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,585 : 930,906 = 930,906 : x
  2. Step 2: Convert to fraction form
    584,585/930,906 = 930,906/x
  3. Step 3: Cross multiply
    584,585x = 930,906 × 930,906
  4. Step 4: Simplify right side
    584,585x = 866,585,980,836
  5. Step 5: Solve for x
    x = 866,585,980,836/584,585
  6. Step 6: Final answer
    x = 1,482,395.17

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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.