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Finding the Third Proportional to 1,144,570.50 and 1,697,415.75

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Solution

The third proportional to 1,144,570.50 and 1,697,415.75 is: 2,517,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144,570.50 : 1,697,415.75 = 1,697,415.75 : x
  2. Step 2: Convert to fraction form
    1,144,570.50/1,697,415.75 = 1,697,415.75/x
  3. Step 3: Cross multiply
    1,144,570.50x = 1,697,415.75 × 1,697,415.75
  4. Step 4: Simplify right side
    1,144,570.50x = 2,881,220,228,348.06
  5. Step 5: Solve for x
    x = 2,881,220,228,348.06/1,144,570.50
  6. Step 6: Final answer
    x = 2,517,293.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.