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Finding the Third Proportional to 788,998 and 1,116,415

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Solution

The third proportional to 788,998 and 1,116,415 is: 1,579,702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,998 : 1,116,415 = 1,116,415 : x
  2. Step 2: Convert to fraction form
    788,998/1,116,415 = 1,116,415/x
  3. Step 3: Cross multiply
    788,998x = 1,116,415 × 1,116,415
  4. Step 4: Simplify right side
    788,998x = 1,246,382,452,225
  5. Step 5: Solve for x
    x = 1,246,382,452,225/788,998
  6. Step 6: Final answer
    x = 1,579,702.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.