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Finding the Third Proportional to 730,026 and 1,125,657

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Solution

The third proportional to 730,026 and 1,125,657 is: 1,735,696.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,026 : 1,125,657 = 1,125,657 : x
  2. Step 2: Convert to fraction form
    730,026/1,125,657 = 1,125,657/x
  3. Step 3: Cross multiply
    730,026x = 1,125,657 × 1,125,657
  4. Step 4: Simplify right side
    730,026x = 1,267,103,681,649
  5. Step 5: Solve for x
    x = 1,267,103,681,649/730,026
  6. Step 6: Final answer
    x = 1,735,696.65

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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.