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Finding the Third Proportional to 621,594 and 1,287,414

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Solution

The third proportional to 621,594 and 1,287,414 is: 2,666,426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,594 : 1,287,414 = 1,287,414 : x
  2. Step 2: Convert to fraction form
    621,594/1,287,414 = 1,287,414/x
  3. Step 3: Cross multiply
    621,594x = 1,287,414 × 1,287,414
  4. Step 4: Simplify right side
    621,594x = 1,657,434,807,396
  5. Step 5: Solve for x
    x = 1,657,434,807,396/621,594
  6. Step 6: Final answer
    x = 2,666,426.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.