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Finding the Third Proportional to 838,919 and 1,312,363

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Solution

The third proportional to 838,919 and 1,312,363 is: 2,052,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,919 : 1,312,363 = 1,312,363 : x
  2. Step 2: Convert to fraction form
    838,919/1,312,363 = 1,312,363/x
  3. Step 3: Cross multiply
    838,919x = 1,312,363 × 1,312,363
  4. Step 4: Simplify right side
    838,919x = 1,722,296,643,769
  5. Step 5: Solve for x
    x = 1,722,296,643,769/838,919
  6. Step 6: Final answer
    x = 2,052,995.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.