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Finding the Third Proportional to 625,023 and 1,363,623

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Solution

The third proportional to 625,023 and 1,363,623 is: 2,975,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,023 : 1,363,623 = 1,363,623 : x
  2. Step 2: Convert to fraction form
    625,023/1,363,623 = 1,363,623/x
  3. Step 3: Cross multiply
    625,023x = 1,363,623 × 1,363,623
  4. Step 4: Simplify right side
    625,023x = 1,859,467,686,129
  5. Step 5: Solve for x
    x = 1,859,467,686,129/625,023
  6. Step 6: Final answer
    x = 2,975,038.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.