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Finding the Third Proportional to 529,644 and 1,249,272

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Solution

The third proportional to 529,644 and 1,249,272 is: 2,946,659.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,644 : 1,249,272 = 1,249,272 : x
  2. Step 2: Convert to fraction form
    529,644/1,249,272 = 1,249,272/x
  3. Step 3: Cross multiply
    529,644x = 1,249,272 × 1,249,272
  4. Step 4: Simplify right side
    529,644x = 1,560,680,529,984
  5. Step 5: Solve for x
    x = 1,560,680,529,984/529,644
  6. Step 6: Final answer
    x = 2,946,659.51

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.