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Finding the Third Proportional to 935,471 and 1,506,563

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Solution

The third proportional to 935,471 and 1,506,563 is: 2,426,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,471 : 1,506,563 = 1,506,563 : x
  2. Step 2: Convert to fraction form
    935,471/1,506,563 = 1,506,563/x
  3. Step 3: Cross multiply
    935,471x = 1,506,563 × 1,506,563
  4. Step 4: Simplify right side
    935,471x = 2,269,732,072,969
  5. Step 5: Solve for x
    x = 2,269,732,072,969/935,471
  6. Step 6: Final answer
    x = 2,426,298.70

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.