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Finding the Third Proportional to 1,240,071 and 2,657,289

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Solution

The third proportional to 1,240,071 and 2,657,289 is: 5,694,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240,071 : 2,657,289 = 2,657,289 : x
  2. Step 2: Convert to fraction form
    1,240,071/2,657,289 = 2,657,289/x
  3. Step 3: Cross multiply
    1,240,071x = 2,657,289 × 2,657,289
  4. Step 4: Simplify right side
    1,240,071x = 7,061,184,829,521
  5. Step 5: Solve for x
    x = 7,061,184,829,521/1,240,071
  6. Step 6: Final answer
    x = 5,694,177.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.