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Finding the Third Proportional to 730,090 and 1,125,160

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Solution

The third proportional to 730,090 and 1,125,160 is: 1,734,012.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,090 : 1,125,160 = 1,125,160 : x
  2. Step 2: Convert to fraction form
    730,090/1,125,160 = 1,125,160/x
  3. Step 3: Cross multiply
    730,090x = 1,125,160 × 1,125,160
  4. Step 4: Simplify right side
    730,090x = 1,265,985,025,600
  5. Step 5: Solve for x
    x = 1,265,985,025,600/730,090
  6. Step 6: Final answer
    x = 1,734,012.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.