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Finding the Third Proportional to 719,439 and 1,055,829

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Solution

The third proportional to 719,439 and 1,055,829 is: 1,549,505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,439 : 1,055,829 = 1,055,829 : x
  2. Step 2: Convert to fraction form
    719,439/1,055,829 = 1,055,829/x
  3. Step 3: Cross multiply
    719,439x = 1,055,829 × 1,055,829
  4. Step 4: Simplify right side
    719,439x = 1,114,774,877,241
  5. Step 5: Solve for x
    x = 1,114,774,877,241/719,439
  6. Step 6: Final answer
    x = 1,549,505.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.