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Finding the Third Proportional to 912,822.75 and 1,418,985

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Solution

The third proportional to 912,822.75 and 1,418,985 is: 2,205,815.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,822.75 : 1,418,985 = 1,418,985 : x
  2. Step 2: Convert to fraction form
    912,822.75/1,418,985 = 1,418,985/x
  3. Step 3: Cross multiply
    912,822.75x = 1,418,985 × 1,418,985
  4. Step 4: Simplify right side
    912,822.75x = 2,013,518,430,225
  5. Step 5: Solve for x
    x = 2,013,518,430,225/912,822.75
  6. Step 6: Final answer
    x = 2,205,815.35

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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.