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Finding the Third Proportional to 592,490 and 1,155,421

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Solution

The third proportional to 592,490 and 1,155,421 is: 2,253,198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,490 : 1,155,421 = 1,155,421 : x
  2. Step 2: Convert to fraction form
    592,490/1,155,421 = 1,155,421/x
  3. Step 3: Cross multiply
    592,490x = 1,155,421 × 1,155,421
  4. Step 4: Simplify right side
    592,490x = 1,334,997,687,241
  5. Step 5: Solve for x
    x = 1,334,997,687,241/592,490
  6. Step 6: Final answer
    x = 2,253,198.68

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.