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Finding the Third Proportional to 1,510,784 and 2,944,468

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Solution

The third proportional to 1,510,784 and 2,944,468 is: 5,738,670.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510,784 : 2,944,468 = 2,944,468 : x
  2. Step 2: Convert to fraction form
    1,510,784/2,944,468 = 2,944,468/x
  3. Step 3: Cross multiply
    1,510,784x = 2,944,468 × 2,944,468
  4. Step 4: Simplify right side
    1,510,784x = 8,669,891,803,024
  5. Step 5: Solve for x
    x = 8,669,891,803,024/1,510,784
  6. Step 6: Final answer
    x = 5,738,670.65

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.