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Finding the Third Proportional to 935,560 and 1,506,692

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Solution

The third proportional to 935,560 and 1,506,692 is: 2,426,483.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,560 : 1,506,692 = 1,506,692 : x
  2. Step 2: Convert to fraction form
    935,560/1,506,692 = 1,506,692/x
  3. Step 3: Cross multiply
    935,560x = 1,506,692 × 1,506,692
  4. Step 4: Simplify right side
    935,560x = 2,270,120,782,864
  5. Step 5: Solve for x
    x = 2,270,120,782,864/935,560
  6. Step 6: Final answer
    x = 2,426,483.37

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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.