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Finding the Third Proportional to 2,566,606.50 and 3,997,225.13

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Solution

The third proportional to 2,566,606.50 and 3,997,225.13 is: 6,225,266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566,606.50 : 3,997,225.13 = 3,997,225.13 : x
  2. Step 2: Convert to fraction form
    2,566,606.50/3,997,225.13 = 3,997,225.13/x
  3. Step 3: Cross multiply
    2,566,606.50x = 3,997,225.13 × 3,997,225.13
  4. Step 4: Simplify right side
    2,566,606.50x = 15,977,808,699,931.27
  5. Step 5: Solve for x
    x = 15,977,808,699,931.27/2,566,606.50
  6. Step 6: Final answer
    x = 6,225,266.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.