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Finding the Third Proportional to 2,050,752.94 and 4,417,041.38

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Solution

The third proportional to 2,050,752.94 and 4,417,041.38 is: 9,513,703.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050,752.94 : 4,417,041.38 = 4,417,041.38 : x
  2. Step 2: Convert to fraction form
    2,050,752.94/4,417,041.38 = 4,417,041.38/x
  3. Step 3: Cross multiply
    2,050,752.94x = 4,417,041.38 × 4,417,041.38
  4. Step 4: Simplify right side
    2,050,752.94x = 19,510,254,508,461.89
  5. Step 5: Solve for x
    x = 19,510,254,508,461.89/2,050,752.94
  6. Step 6: Final answer
    x = 9,513,703.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.