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Finding the Third Proportional to 575,098 and 1,250,964

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Solution

The third proportional to 575,098 and 1,250,964 is: 2,721,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,098 : 1,250,964 = 1,250,964 : x
  2. Step 2: Convert to fraction form
    575,098/1,250,964 = 1,250,964/x
  3. Step 3: Cross multiply
    575,098x = 1,250,964 × 1,250,964
  4. Step 4: Simplify right side
    575,098x = 1,564,910,929,296
  5. Step 5: Solve for x
    x = 1,564,910,929,296/575,098
  6. Step 6: Final answer
    x = 2,721,120.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.