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Finding the Third Proportional to 927,506 and 1,393,473

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Solution

The third proportional to 927,506 and 1,393,473 is: 2,093,535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,506 : 1,393,473 = 1,393,473 : x
  2. Step 2: Convert to fraction form
    927,506/1,393,473 = 1,393,473/x
  3. Step 3: Cross multiply
    927,506x = 1,393,473 × 1,393,473
  4. Step 4: Simplify right side
    927,506x = 1,941,767,001,729
  5. Step 5: Solve for x
    x = 1,941,767,001,729/927,506
  6. Step 6: Final answer
    x = 2,093,535.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.