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Finding the Third Proportional to 779,430 and 1,674,893

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Solution

The third proportional to 779,430 and 1,674,893 is: 3,599,125.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,430 : 1,674,893 = 1,674,893 : x
  2. Step 2: Convert to fraction form
    779,430/1,674,893 = 1,674,893/x
  3. Step 3: Cross multiply
    779,430x = 1,674,893 × 1,674,893
  4. Step 4: Simplify right side
    779,430x = 2,805,266,561,449
  5. Step 5: Solve for x
    x = 2,805,266,561,449/779,430
  6. Step 6: Final answer
    x = 3,599,125.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.