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Finding the Third Proportional to 1,703,000 and 2,838,216

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Solution

The third proportional to 1,703,000 and 2,838,216 is: 4,730,164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703,000 : 2,838,216 = 2,838,216 : x
  2. Step 2: Convert to fraction form
    1,703,000/2,838,216 = 2,838,216/x
  3. Step 3: Cross multiply
    1,703,000x = 2,838,216 × 2,838,216
  4. Step 4: Simplify right side
    1,703,000x = 8,055,470,062,656
  5. Step 5: Solve for x
    x = 8,055,470,062,656/1,703,000
  6. Step 6: Final answer
    x = 4,730,164.45

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.