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Finding the Third Proportional to 975,272 and 1,294,452

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Solution

The third proportional to 975,272 and 1,294,452 is: 1,718,090.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,272 : 1,294,452 = 1,294,452 : x
  2. Step 2: Convert to fraction form
    975,272/1,294,452 = 1,294,452/x
  3. Step 3: Cross multiply
    975,272x = 1,294,452 × 1,294,452
  4. Step 4: Simplify right side
    975,272x = 1,675,605,980,304
  5. Step 5: Solve for x
    x = 1,675,605,980,304/975,272
  6. Step 6: Final answer
    x = 1,718,090.93

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.