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Finding the Third Proportional to 1,070,314 and 1,467,691

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Solution

The third proportional to 1,070,314 and 1,467,691 is: 2,012,602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,314 : 1,467,691 = 1,467,691 : x
  2. Step 2: Convert to fraction form
    1,070,314/1,467,691 = 1,467,691/x
  3. Step 3: Cross multiply
    1,070,314x = 1,467,691 × 1,467,691
  4. Step 4: Simplify right side
    1,070,314x = 2,154,116,871,481
  5. Step 5: Solve for x
    x = 2,154,116,871,481/1,070,314
  6. Step 6: Final answer
    x = 2,012,602.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.