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Finding the Third Proportional to 586,594 and 914,947

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Solution

The third proportional to 586,594 and 914,947 is: 1,427,099.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,594 : 914,947 = 914,947 : x
  2. Step 2: Convert to fraction form
    586,594/914,947 = 914,947/x
  3. Step 3: Cross multiply
    586,594x = 914,947 × 914,947
  4. Step 4: Simplify right side
    586,594x = 837,128,012,809
  5. Step 5: Solve for x
    x = 837,128,012,809/586,594
  6. Step 6: Final answer
    x = 1,427,099.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.