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Finding the Third Proportional to 527,294 and 1,137,532

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Solution

The third proportional to 527,294 and 1,137,532 is: 2,453,999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,294 : 1,137,532 = 1,137,532 : x
  2. Step 2: Convert to fraction form
    527,294/1,137,532 = 1,137,532/x
  3. Step 3: Cross multiply
    527,294x = 1,137,532 × 1,137,532
  4. Step 4: Simplify right side
    527,294x = 1,293,979,051,024
  5. Step 5: Solve for x
    x = 1,293,979,051,024/527,294
  6. Step 6: Final answer
    x = 2,453,999.19

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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.