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Finding the Third Proportional to 767,643 and 1,623,861

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Solution

The third proportional to 767,643 and 1,623,861 is: 3,435,092.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,643 : 1,623,861 = 1,623,861 : x
  2. Step 2: Convert to fraction form
    767,643/1,623,861 = 1,623,861/x
  3. Step 3: Cross multiply
    767,643x = 1,623,861 × 1,623,861
  4. Step 4: Simplify right side
    767,643x = 2,636,924,547,321
  5. Step 5: Solve for x
    x = 2,636,924,547,321/767,643
  6. Step 6: Final answer
    x = 3,435,092.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.