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Finding the Third Proportional to 1,914,893.16 and 4,148,913.66

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Solution

The third proportional to 1,914,893.16 and 4,148,913.66 is: 8,989,266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914,893.16 : 4,148,913.66 = 4,148,913.66 : x
  2. Step 2: Convert to fraction form
    1,914,893.16/4,148,913.66 = 4,148,913.66/x
  3. Step 3: Cross multiply
    1,914,893.16x = 4,148,913.66 × 4,148,913.66
  4. Step 4: Simplify right side
    1,914,893.16x = 17,213,484,527,017.74
  5. Step 5: Solve for x
    x = 17,213,484,527,017.74/1,914,893.16
  6. Step 6: Final answer
    x = 8,989,266.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.