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Finding the Third Proportional to 971,206.88 and 2,112,534

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Solution

The third proportional to 971,206.88 and 2,112,534 is: 4,595,107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,206.88 : 2,112,534 = 2,112,534 : x
  2. Step 2: Convert to fraction form
    971,206.88/2,112,534 = 2,112,534/x
  3. Step 3: Cross multiply
    971,206.88x = 2,112,534 × 2,112,534
  4. Step 4: Simplify right side
    971,206.88x = 4,462,799,901,156
  5. Step 5: Solve for x
    x = 4,462,799,901,156/971,206.88
  6. Step 6: Final answer
    x = 4,595,107.40

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Why These Related Problems?

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