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Finding the Third Proportional to 3,249,420.68 and 4,542,655.29

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Solution

The third proportional to 3,249,420.68 and 4,542,655.29 is: 6,350,583.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249,420.68 : 4,542,655.29 = 4,542,655.29 : x
  2. Step 2: Convert to fraction form
    3,249,420.68/4,542,655.29 = 4,542,655.29/x
  3. Step 3: Cross multiply
    3,249,420.68x = 4,542,655.29 × 4,542,655.29
  4. Step 4: Simplify right side
    3,249,420.68x = 20,635,717,075,247.50
  5. Step 5: Solve for x
    x = 20,635,717,075,247.50/3,249,420.68
  6. Step 6: Final answer
    x = 6,350,583.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.