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Finding the Third Proportional to 472,699 and 1,011,844

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Solution

The third proportional to 472,699 and 1,011,844 is: 2,165,920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,699 : 1,011,844 = 1,011,844 : x
  2. Step 2: Convert to fraction form
    472,699/1,011,844 = 1,011,844/x
  3. Step 3: Cross multiply
    472,699x = 1,011,844 × 1,011,844
  4. Step 4: Simplify right side
    472,699x = 1,023,828,280,336
  5. Step 5: Solve for x
    x = 1,023,828,280,336/472,699
  6. Step 6: Final answer
    x = 2,165,920.13

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.