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Finding the Third Proportional to 861,075 and 1,877,157

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Solution

The third proportional to 861,075 and 1,877,157 is: 4,092,231.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,075 : 1,877,157 = 1,877,157 : x
  2. Step 2: Convert to fraction form
    861,075/1,877,157 = 1,877,157/x
  3. Step 3: Cross multiply
    861,075x = 1,877,157 × 1,877,157
  4. Step 4: Simplify right side
    861,075x = 3,523,718,402,649
  5. Step 5: Solve for x
    x = 3,523,718,402,649/861,075
  6. Step 6: Final answer
    x = 4,092,231.69

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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.