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Finding the Third Proportional to 872,933 and 1,883,578

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Solution

The third proportional to 872,933 and 1,883,578 is: 4,064,305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,933 : 1,883,578 = 1,883,578 : x
  2. Step 2: Convert to fraction form
    872,933/1,883,578 = 1,883,578/x
  3. Step 3: Cross multiply
    872,933x = 1,883,578 × 1,883,578
  4. Step 4: Simplify right side
    872,933x = 3,547,866,082,084
  5. Step 5: Solve for x
    x = 3,547,866,082,084/872,933
  6. Step 6: Final answer
    x = 4,064,305.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.