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Finding the Third Proportional to 803,902 and 1,724,364

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Solution

The third proportional to 803,902 and 1,724,364 is: 3,698,748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,902 : 1,724,364 = 1,724,364 : x
  2. Step 2: Convert to fraction form
    803,902/1,724,364 = 1,724,364/x
  3. Step 3: Cross multiply
    803,902x = 1,724,364 × 1,724,364
  4. Step 4: Simplify right side
    803,902x = 2,973,431,204,496
  5. Step 5: Solve for x
    x = 2,973,431,204,496/803,902
  6. Step 6: Final answer
    x = 3,698,748.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.