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Finding the Third Proportional to 2,155,490 and 3,138,464

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Solution

The third proportional to 2,155,490 and 3,138,464 is: 4,569,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155,490 : 3,138,464 = 3,138,464 : x
  2. Step 2: Convert to fraction form
    2,155,490/3,138,464 = 3,138,464/x
  3. Step 3: Cross multiply
    2,155,490x = 3,138,464 × 3,138,464
  4. Step 4: Simplify right side
    2,155,490x = 9,849,956,279,296
  5. Step 5: Solve for x
    x = 9,849,956,279,296/2,155,490
  6. Step 6: Final answer
    x = 4,569,706.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.