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Finding the Third Proportional to 2,289,332.74 and 4,977,246.23

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Solution

The third proportional to 2,289,332.74 and 4,977,246.23 is: 10,821,048.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289,332.74 : 4,977,246.23 = 4,977,246.23 : x
  2. Step 2: Convert to fraction form
    2,289,332.74/4,977,246.23 = 4,977,246.23/x
  3. Step 3: Cross multiply
    2,289,332.74x = 4,977,246.23 × 4,977,246.23
  4. Step 4: Simplify right side
    2,289,332.74x = 24,772,980,077,600.12
  5. Step 5: Solve for x
    x = 24,772,980,077,600.12/2,289,332.74
  6. Step 6: Final answer
    x = 10,821,048.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.