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Finding the Third Proportional to 779,044 and 1,196,707

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Solution

The third proportional to 779,044 and 1,196,707 is: 1,838,288.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,044 : 1,196,707 = 1,196,707 : x
  2. Step 2: Convert to fraction form
    779,044/1,196,707 = 1,196,707/x
  3. Step 3: Cross multiply
    779,044x = 1,196,707 × 1,196,707
  4. Step 4: Simplify right side
    779,044x = 1,432,107,643,849
  5. Step 5: Solve for x
    x = 1,432,107,643,849/779,044
  6. Step 6: Final answer
    x = 1,838,288.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.