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Finding the Third Proportional to 634,481 and 1,373,506

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Solution

The third proportional to 634,481 and 1,373,506 is: 2,973,325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,481 : 1,373,506 = 1,373,506 : x
  2. Step 2: Convert to fraction form
    634,481/1,373,506 = 1,373,506/x
  3. Step 3: Cross multiply
    634,481x = 1,373,506 × 1,373,506
  4. Step 4: Simplify right side
    634,481x = 1,886,518,732,036
  5. Step 5: Solve for x
    x = 1,886,518,732,036/634,481
  6. Step 6: Final answer
    x = 2,973,325.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.