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Finding the Third Proportional to 914,437 and 1,421,480

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Solution

The third proportional to 914,437 and 1,421,480 is: 2,209,671.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,437 : 1,421,480 = 1,421,480 : x
  2. Step 2: Convert to fraction form
    914,437/1,421,480 = 1,421,480/x
  3. Step 3: Cross multiply
    914,437x = 1,421,480 × 1,421,480
  4. Step 4: Simplify right side
    914,437x = 2,020,605,390,400
  5. Step 5: Solve for x
    x = 2,020,605,390,400/914,437
  6. Step 6: Final answer
    x = 2,209,671.51

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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.