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Finding the Third Proportional to 1,772,262.50 and 2,749,522

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Solution

The third proportional to 1,772,262.50 and 2,749,522 is: 4,265,661.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772,262.50 : 2,749,522 = 2,749,522 : x
  2. Step 2: Convert to fraction form
    1,772,262.50/2,749,522 = 2,749,522/x
  3. Step 3: Cross multiply
    1,772,262.50x = 2,749,522 × 2,749,522
  4. Step 4: Simplify right side
    1,772,262.50x = 7,559,871,228,484
  5. Step 5: Solve for x
    x = 7,559,871,228,484/1,772,262.50
  6. Step 6: Final answer
    x = 4,265,661.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.