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Finding the Third Proportional to 2,068,970.34 and 4,510,397.04

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Solution

The third proportional to 2,068,970.34 and 4,510,397.04 is: 9,832,756.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068,970.34 : 4,510,397.04 = 4,510,397.04 : x
  2. Step 2: Convert to fraction form
    2,068,970.34/4,510,397.04 = 4,510,397.04/x
  3. Step 3: Cross multiply
    2,068,970.34x = 4,510,397.04 × 4,510,397.04
  4. Step 4: Simplify right side
    2,068,970.34x = 20,343,681,449,983.77
  5. Step 5: Solve for x
    x = 20,343,681,449,983.77/2,068,970.34
  6. Step 6: Final answer
    x = 9,832,756.43

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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.