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Finding the Third Proportional to 703,828 and 1,547,612

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Solution

The third proportional to 703,828 and 1,547,612 is: 3,402,966.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,828 : 1,547,612 = 1,547,612 : x
  2. Step 2: Convert to fraction form
    703,828/1,547,612 = 1,547,612/x
  3. Step 3: Cross multiply
    703,828x = 1,547,612 × 1,547,612
  4. Step 4: Simplify right side
    703,828x = 2,395,102,902,544
  5. Step 5: Solve for x
    x = 2,395,102,902,544/703,828
  6. Step 6: Final answer
    x = 3,402,966.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.