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Finding the Third Proportional to 623,502 and 1,351,932

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Solution

The third proportional to 623,502 and 1,351,932 is: 2,931,378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,502 : 1,351,932 = 1,351,932 : x
  2. Step 2: Convert to fraction form
    623,502/1,351,932 = 1,351,932/x
  3. Step 3: Cross multiply
    623,502x = 1,351,932 × 1,351,932
  4. Step 4: Simplify right side
    623,502x = 1,827,720,132,624
  5. Step 5: Solve for x
    x = 1,827,720,132,624/623,502
  6. Step 6: Final answer
    x = 2,931,378.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.