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Finding the Third Proportional to 742,272 and 1,152,216

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Solution

The third proportional to 742,272 and 1,152,216 is: 1,788,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,272 : 1,152,216 = 1,152,216 : x
  2. Step 2: Convert to fraction form
    742,272/1,152,216 = 1,152,216/x
  3. Step 3: Cross multiply
    742,272x = 1,152,216 × 1,152,216
  4. Step 4: Simplify right side
    742,272x = 1,327,601,710,656
  5. Step 5: Solve for x
    x = 1,327,601,710,656/742,272
  6. Step 6: Final answer
    x = 1,788,564.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.