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Finding the Third Proportional to 527,024 and 1,152,464

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Solution

The third proportional to 527,024 and 1,152,464 is: 2,520,138.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,024 : 1,152,464 = 1,152,464 : x
  2. Step 2: Convert to fraction form
    527,024/1,152,464 = 1,152,464/x
  3. Step 3: Cross multiply
    527,024x = 1,152,464 × 1,152,464
  4. Step 4: Simplify right side
    527,024x = 1,328,173,271,296
  5. Step 5: Solve for x
    x = 1,328,173,271,296/527,024
  6. Step 6: Final answer
    x = 2,520,138.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.