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Finding the Third Proportional to 532,049 and 1,148,506

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Solution

The third proportional to 532,049 and 1,148,506 is: 2,479,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,049 : 1,148,506 = 1,148,506 : x
  2. Step 2: Convert to fraction form
    532,049/1,148,506 = 1,148,506/x
  3. Step 3: Cross multiply
    532,049x = 1,148,506 × 1,148,506
  4. Step 4: Simplify right side
    532,049x = 1,319,066,032,036
  5. Step 5: Solve for x
    x = 1,319,066,032,036/532,049
  6. Step 6: Final answer
    x = 2,479,219.08

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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.