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Finding the Third Proportional to 835,320 and 1,272,564

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Solution

The third proportional to 835,320 and 1,272,564 is: 1,938,681.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,320 : 1,272,564 = 1,272,564 : x
  2. Step 2: Convert to fraction form
    835,320/1,272,564 = 1,272,564/x
  3. Step 3: Cross multiply
    835,320x = 1,272,564 × 1,272,564
  4. Step 4: Simplify right side
    835,320x = 1,619,419,134,096
  5. Step 5: Solve for x
    x = 1,619,419,134,096/835,320
  6. Step 6: Final answer
    x = 1,938,681.15

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.