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Finding the Third Proportional to 2,159,570 and 4,999,541

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Solution

The third proportional to 2,159,570 and 4,999,541 is: 11,574,253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159,570 : 4,999,541 = 4,999,541 : x
  2. Step 2: Convert to fraction form
    2,159,570/4,999,541 = 4,999,541/x
  3. Step 3: Cross multiply
    2,159,570x = 4,999,541 × 4,999,541
  4. Step 4: Simplify right side
    2,159,570x = 24,995,410,210,681
  5. Step 5: Solve for x
    x = 24,995,410,210,681/2,159,570
  6. Step 6: Final answer
    x = 11,574,253.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.