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Finding the Third Proportional to 873,616 and 1,316,580

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Solution

The third proportional to 873,616 and 1,316,580 is: 1,984,147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,616 : 1,316,580 = 1,316,580 : x
  2. Step 2: Convert to fraction form
    873,616/1,316,580 = 1,316,580/x
  3. Step 3: Cross multiply
    873,616x = 1,316,580 × 1,316,580
  4. Step 4: Simplify right side
    873,616x = 1,733,382,896,400
  5. Step 5: Solve for x
    x = 1,733,382,896,400/873,616
  6. Step 6: Final answer
    x = 1,984,147.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.