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Finding the Third Proportional to 2,972,169 and 4,723,434

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Solution

The third proportional to 2,972,169 and 4,723,434 is: 7,506,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972,169 : 4,723,434 = 4,723,434 : x
  2. Step 2: Convert to fraction form
    2,972,169/4,723,434 = 4,723,434/x
  3. Step 3: Cross multiply
    2,972,169x = 4,723,434 × 4,723,434
  4. Step 4: Simplify right side
    2,972,169x = 22,310,828,752,356
  5. Step 5: Solve for x
    x = 22,310,828,752,356/2,972,169
  6. Step 6: Final answer
    x = 7,506,581.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.