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Finding the Third Proportional to 542,772 and 1,160,239

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Solution

The third proportional to 542,772 and 1,160,239 is: 2,480,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,772 : 1,160,239 = 1,160,239 : x
  2. Step 2: Convert to fraction form
    542,772/1,160,239 = 1,160,239/x
  3. Step 3: Cross multiply
    542,772x = 1,160,239 × 1,160,239
  4. Step 4: Simplify right side
    542,772x = 1,346,154,537,121
  5. Step 5: Solve for x
    x = 1,346,154,537,121/542,772
  6. Step 6: Final answer
    x = 2,480,147.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.