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Finding the Third Proportional to 842,157 and 1,294,473

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Solution

The third proportional to 842,157 and 1,294,473 is: 1,989,724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,157 : 1,294,473 = 1,294,473 : x
  2. Step 2: Convert to fraction form
    842,157/1,294,473 = 1,294,473/x
  3. Step 3: Cross multiply
    842,157x = 1,294,473 × 1,294,473
  4. Step 4: Simplify right side
    842,157x = 1,675,660,347,729
  5. Step 5: Solve for x
    x = 1,675,660,347,729/842,157
  6. Step 6: Final answer
    x = 1,989,724.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.