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Finding the Third Proportional to 652,023 and 1,400,458

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Solution

The third proportional to 652,023 and 1,400,458 is: 3,007,996.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,023 : 1,400,458 = 1,400,458 : x
  2. Step 2: Convert to fraction form
    652,023/1,400,458 = 1,400,458/x
  3. Step 3: Cross multiply
    652,023x = 1,400,458 × 1,400,458
  4. Step 4: Simplify right side
    652,023x = 1,961,282,609,764
  5. Step 5: Solve for x
    x = 1,961,282,609,764/652,023
  6. Step 6: Final answer
    x = 3,007,996.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.