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Finding the Third Proportional to 843,528 and 1,202,184

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Solution

The third proportional to 843,528 and 1,202,184 is: 1,713,335.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,528 : 1,202,184 = 1,202,184 : x
  2. Step 2: Convert to fraction form
    843,528/1,202,184 = 1,202,184/x
  3. Step 3: Cross multiply
    843,528x = 1,202,184 × 1,202,184
  4. Step 4: Simplify right side
    843,528x = 1,445,246,369,856
  5. Step 5: Solve for x
    x = 1,445,246,369,856/843,528
  6. Step 6: Final answer
    x = 1,713,335.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.