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Finding the Third Proportional to 779,787 and 1,706,328

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Solution

The third proportional to 779,787 and 1,706,328 is: 3,733,782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,787 : 1,706,328 = 1,706,328 : x
  2. Step 2: Convert to fraction form
    779,787/1,706,328 = 1,706,328/x
  3. Step 3: Cross multiply
    779,787x = 1,706,328 × 1,706,328
  4. Step 4: Simplify right side
    779,787x = 2,911,555,243,584
  5. Step 5: Solve for x
    x = 2,911,555,243,584/779,787
  6. Step 6: Final answer
    x = 3,733,782.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.