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Finding the Third Proportional to 935,486 and 1,506,586

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Solution

The third proportional to 935,486 and 1,506,586 is: 2,426,333.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,486 : 1,506,586 = 1,506,586 : x
  2. Step 2: Convert to fraction form
    935,486/1,506,586 = 1,506,586/x
  3. Step 3: Cross multiply
    935,486x = 1,506,586 × 1,506,586
  4. Step 4: Simplify right side
    935,486x = 2,269,801,375,396
  5. Step 5: Solve for x
    x = 2,269,801,375,396/935,486
  6. Step 6: Final answer
    x = 2,426,333.88

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Why These Related Problems?

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