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Finding the Third Proportional to 772,776 and 1,674,257

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Solution

The third proportional to 772,776 and 1,674,257 is: 3,627,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,776 : 1,674,257 = 1,674,257 : x
  2. Step 2: Convert to fraction form
    772,776/1,674,257 = 1,674,257/x
  3. Step 3: Cross multiply
    772,776x = 1,674,257 × 1,674,257
  4. Step 4: Simplify right side
    772,776x = 2,803,136,502,049
  5. Step 5: Solve for x
    x = 2,803,136,502,049/772,776
  6. Step 6: Final answer
    x = 3,627,359.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.