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Finding the Third Proportional to 719,424 and 1,055,808

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Solution

The third proportional to 719,424 and 1,055,808 is: 1,549,476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,424 : 1,055,808 = 1,055,808 : x
  2. Step 2: Convert to fraction form
    719,424/1,055,808 = 1,055,808/x
  3. Step 3: Cross multiply
    719,424x = 1,055,808 × 1,055,808
  4. Step 4: Simplify right side
    719,424x = 1,114,730,532,864
  5. Step 5: Solve for x
    x = 1,114,730,532,864/719,424
  6. Step 6: Final answer
    x = 1,549,476.43

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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.