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Finding the Third Proportional to 977,744.25 and 1,315,710

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Solution

The third proportional to 977,744.25 and 1,315,710 is: 1,770,496.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,744.25 : 1,315,710 = 1,315,710 : x
  2. Step 2: Convert to fraction form
    977,744.25/1,315,710 = 1,315,710/x
  3. Step 3: Cross multiply
    977,744.25x = 1,315,710 × 1,315,710
  4. Step 4: Simplify right side
    977,744.25x = 1,731,092,804,100
  5. Step 5: Solve for x
    x = 1,731,092,804,100/977,744.25
  6. Step 6: Final answer
    x = 1,770,496.53

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.