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Finding the Third Proportional to 527,085 and 1,159,128

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Solution

The third proportional to 527,085 and 1,159,128 is: 2,549,072.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,085 : 1,159,128 = 1,159,128 : x
  2. Step 2: Convert to fraction form
    527,085/1,159,128 = 1,159,128/x
  3. Step 3: Cross multiply
    527,085x = 1,159,128 × 1,159,128
  4. Step 4: Simplify right side
    527,085x = 1,343,577,720,384
  5. Step 5: Solve for x
    x = 1,343,577,720,384/527,085
  6. Step 6: Final answer
    x = 2,549,072.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.