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Finding the Third Proportional to 472,935 and 1,015,854

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Solution

The third proportional to 472,935 and 1,015,854 is: 2,182,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,935 : 1,015,854 = 1,015,854 : x
  2. Step 2: Convert to fraction form
    472,935/1,015,854 = 1,015,854/x
  3. Step 3: Cross multiply
    472,935x = 1,015,854 × 1,015,854
  4. Step 4: Simplify right side
    472,935x = 1,031,959,349,316
  5. Step 5: Solve for x
    x = 1,031,959,349,316/472,935
  6. Step 6: Final answer
    x = 2,182,032.10

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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.