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Finding the Third Proportional to 1,576,806.75 and 2,477,266.88

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Solution

The third proportional to 1,576,806.75 and 2,477,266.88 is: 3,891,948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576,806.75 : 2,477,266.88 = 2,477,266.88 : x
  2. Step 2: Convert to fraction form
    1,576,806.75/2,477,266.88 = 2,477,266.88/x
  3. Step 3: Cross multiply
    1,576,806.75x = 2,477,266.88 × 2,477,266.88
  4. Step 4: Simplify right side
    1,576,806.75x = 6,136,851,169,972.27
  5. Step 5: Solve for x
    x = 6,136,851,169,972.27/1,576,806.75
  6. Step 6: Final answer
    x = 3,891,948.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.