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Finding the Third Proportional to 857,196 and 1,167,541

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Solution

The third proportional to 857,196 and 1,167,541 is: 1,590,245.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,196 : 1,167,541 = 1,167,541 : x
  2. Step 2: Convert to fraction form
    857,196/1,167,541 = 1,167,541/x
  3. Step 3: Cross multiply
    857,196x = 1,167,541 × 1,167,541
  4. Step 4: Simplify right side
    857,196x = 1,363,151,986,681
  5. Step 5: Solve for x
    x = 1,363,151,986,681/857,196
  6. Step 6: Final answer
    x = 1,590,245.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.