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Finding the Third Proportional to 763,120 and 1,657,454

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Solution

The third proportional to 763,120 and 1,657,454 is: 3,599,897.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,120 : 1,657,454 = 1,657,454 : x
  2. Step 2: Convert to fraction form
    763,120/1,657,454 = 1,657,454/x
  3. Step 3: Cross multiply
    763,120x = 1,657,454 × 1,657,454
  4. Step 4: Simplify right side
    763,120x = 2,747,153,762,116
  5. Step 5: Solve for x
    x = 2,747,153,762,116/763,120
  6. Step 6: Final answer
    x = 3,599,897.48

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