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Finding the Third Proportional to 2,161,210 and 4,657,598

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Solution

The third proportional to 2,161,210 and 4,657,598 is: 10,037,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161,210 : 4,657,598 = 4,657,598 : x
  2. Step 2: Convert to fraction form
    2,161,210/4,657,598 = 4,657,598/x
  3. Step 3: Cross multiply
    2,161,210x = 4,657,598 × 4,657,598
  4. Step 4: Simplify right side
    2,161,210x = 21,693,219,129,604
  5. Step 5: Solve for x
    x = 21,693,219,129,604/2,161,210
  6. Step 6: Final answer
    x = 10,037,534.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.