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Finding the Third Proportional to 703,820 and 1,547,599

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Solution

The third proportional to 703,820 and 1,547,599 is: 3,402,947.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,820 : 1,547,599 = 1,547,599 : x
  2. Step 2: Convert to fraction form
    703,820/1,547,599 = 1,547,599/x
  3. Step 3: Cross multiply
    703,820x = 1,547,599 × 1,547,599
  4. Step 4: Simplify right side
    703,820x = 2,395,062,664,801
  5. Step 5: Solve for x
    x = 2,395,062,664,801/703,820
  6. Step 6: Final answer
    x = 3,402,947.72

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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.