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Finding the Third Proportional to 719,062 and 1,573,416

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Solution

The third proportional to 719,062 and 1,573,416 is: 3,442,871.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,062 : 1,573,416 = 1,573,416 : x
  2. Step 2: Convert to fraction form
    719,062/1,573,416 = 1,573,416/x
  3. Step 3: Cross multiply
    719,062x = 1,573,416 × 1,573,416
  4. Step 4: Simplify right side
    719,062x = 2,475,637,909,056
  5. Step 5: Solve for x
    x = 2,475,637,909,056/719,062
  6. Step 6: Final answer
    x = 3,442,871.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.