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Finding the Third Proportional to 728,643,468 and 1,127,013,810

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Solution

The third proportional to 728,643,468 and 1,127,013,810 is: 1,743,184,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,643,468 : 1,127,013,810 = 1,127,013,810 : x
  2. Step 2: Convert to fraction form
    728,643,468/1,127,013,810 = 1,127,013,810/x
  3. Step 3: Cross multiply
    728,643,468x = 1,127,013,810 × 1,127,013,810
  4. Step 4: Simplify right side
    728,643,468x = 1,270,160,127,930,716,160
  5. Step 5: Solve for x
    x = 1,270,160,127,930,716,160/728,643,468
  6. Step 6: Final answer
    x = 1,743,184,676.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.