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Finding the Third Proportional to 710,769 and 1,677,879

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Solution

The third proportional to 710,769 and 1,677,879 is: 3,960,890.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,769 : 1,677,879 = 1,677,879 : x
  2. Step 2: Convert to fraction form
    710,769/1,677,879 = 1,677,879/x
  3. Step 3: Cross multiply
    710,769x = 1,677,879 × 1,677,879
  4. Step 4: Simplify right side
    710,769x = 2,815,277,938,641
  5. Step 5: Solve for x
    x = 2,815,277,938,641/710,769
  6. Step 6: Final answer
    x = 3,960,890.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.