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Finding the Third Proportional to 572,076 and 1,242,564

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Solution

The third proportional to 572,076 and 1,242,564 is: 2,698,881.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,076 : 1,242,564 = 1,242,564 : x
  2. Step 2: Convert to fraction form
    572,076/1,242,564 = 1,242,564/x
  3. Step 3: Cross multiply
    572,076x = 1,242,564 × 1,242,564
  4. Step 4: Simplify right side
    572,076x = 1,543,965,294,096
  5. Step 5: Solve for x
    x = 1,543,965,294,096/572,076
  6. Step 6: Final answer
    x = 2,698,881.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.