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Finding the Third Proportional to 779,467.50 and 1,710,657

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Solution

The third proportional to 779,467.50 and 1,710,657 is: 3,754,290.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,467.50 : 1,710,657 = 1,710,657 : x
  2. Step 2: Convert to fraction form
    779,467.50/1,710,657 = 1,710,657/x
  3. Step 3: Cross multiply
    779,467.50x = 1,710,657 × 1,710,657
  4. Step 4: Simplify right side
    779,467.50x = 2,926,347,371,649
  5. Step 5: Solve for x
    x = 2,926,347,371,649/779,467.50
  6. Step 6: Final answer
    x = 3,754,290.42

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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.