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Finding the Third Proportional to 654,374 and 977,652

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Solution

The third proportional to 654,374 and 977,652 is: 1,460,637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,374 : 977,652 = 977,652 : x
  2. Step 2: Convert to fraction form
    654,374/977,652 = 977,652/x
  3. Step 3: Cross multiply
    654,374x = 977,652 × 977,652
  4. Step 4: Simplify right side
    654,374x = 955,803,433,104
  5. Step 5: Solve for x
    x = 955,803,433,104/654,374
  6. Step 6: Final answer
    x = 1,460,637.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.