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Finding the Third Proportional to 2,574,340.50 and 5,643,213

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Solution

The third proportional to 2,574,340.50 and 5,643,213 is: 12,370,489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574,340.50 : 5,643,213 = 5,643,213 : x
  2. Step 2: Convert to fraction form
    2,574,340.50/5,643,213 = 5,643,213/x
  3. Step 3: Cross multiply
    2,574,340.50x = 5,643,213 × 5,643,213
  4. Step 4: Simplify right side
    2,574,340.50x = 31,845,852,963,369
  5. Step 5: Solve for x
    x = 31,845,852,963,369/2,574,340.50
  6. Step 6: Final answer
    x = 12,370,489.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.