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Finding the Third Proportional to 559,454 and 867,855

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Solution

The third proportional to 559,454 and 867,855 is: 1,346,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,454 : 867,855 = 867,855 : x
  2. Step 2: Convert to fraction form
    559,454/867,855 = 867,855/x
  3. Step 3: Cross multiply
    559,454x = 867,855 × 867,855
  4. Step 4: Simplify right side
    559,454x = 753,172,301,025
  5. Step 5: Solve for x
    x = 753,172,301,025/559,454
  6. Step 6: Final answer
    x = 1,346,263.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.