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Finding the Third Proportional to 785,784 and 1,696,776

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Solution

The third proportional to 785,784 and 1,696,776 is: 3,663,918.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,784 : 1,696,776 = 1,696,776 : x
  2. Step 2: Convert to fraction form
    785,784/1,696,776 = 1,696,776/x
  3. Step 3: Cross multiply
    785,784x = 1,696,776 × 1,696,776
  4. Step 4: Simplify right side
    785,784x = 2,879,048,794,176
  5. Step 5: Solve for x
    x = 2,879,048,794,176/785,784
  6. Step 6: Final answer
    x = 3,663,918.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.