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Finding the Third Proportional to 977,024 and 1,394,580

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Solution

The third proportional to 977,024 and 1,394,580 is: 1,990,589.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,024 : 1,394,580 = 1,394,580 : x
  2. Step 2: Convert to fraction form
    977,024/1,394,580 = 1,394,580/x
  3. Step 3: Cross multiply
    977,024x = 1,394,580 × 1,394,580
  4. Step 4: Simplify right side
    977,024x = 1,944,853,376,400
  5. Step 5: Solve for x
    x = 1,944,853,376,400/977,024
  6. Step 6: Final answer
    x = 1,990,589.15

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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.