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Finding the Third Proportional to 772,866 and 1,648,445

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Solution

The third proportional to 772,866 and 1,648,445 is: 3,515,966.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,866 : 1,648,445 = 1,648,445 : x
  2. Step 2: Convert to fraction form
    772,866/1,648,445 = 1,648,445/x
  3. Step 3: Cross multiply
    772,866x = 1,648,445 × 1,648,445
  4. Step 4: Simplify right side
    772,866x = 2,717,370,918,025
  5. Step 5: Solve for x
    x = 2,717,370,918,025/772,866
  6. Step 6: Final answer
    x = 3,515,966.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.