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Finding the Third Proportional to 719,438 and 1,055,828

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Solution

The third proportional to 719,438 and 1,055,828 is: 1,549,504.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,438 : 1,055,828 = 1,055,828 : x
  2. Step 2: Convert to fraction form
    719,438/1,055,828 = 1,055,828/x
  3. Step 3: Cross multiply
    719,438x = 1,055,828 × 1,055,828
  4. Step 4: Simplify right side
    719,438x = 1,114,772,765,584
  5. Step 5: Solve for x
    x = 1,114,772,765,584/719,438
  6. Step 6: Final answer
    x = 1,549,504.98

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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.