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Finding the Third Proportional to 788,636.53 and 1,715,669.16

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Solution

The third proportional to 788,636.53 and 1,715,669.16 is: 3,732,417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,636.53 : 1,715,669.16 = 1,715,669.16 : x
  2. Step 2: Convert to fraction form
    788,636.53/1,715,669.16 = 1,715,669.16/x
  3. Step 3: Cross multiply
    788,636.53x = 1,715,669.16 × 1,715,669.16
  4. Step 4: Simplify right side
    788,636.53x = 2,943,520,653,707.59
  5. Step 5: Solve for x
    x = 2,943,520,653,707.59/788,636.53
  6. Step 6: Final answer
    x = 3,732,417.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.