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Finding the Third Proportional to 873,616 and 1,316,586

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Solution

The third proportional to 873,616 and 1,316,586 is: 1,984,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,616 : 1,316,586 = 1,316,586 : x
  2. Step 2: Convert to fraction form
    873,616/1,316,586 = 1,316,586/x
  3. Step 3: Cross multiply
    873,616x = 1,316,586 × 1,316,586
  4. Step 4: Simplify right side
    873,616x = 1,733,398,695,396
  5. Step 5: Solve for x
    x = 1,733,398,695,396/873,616
  6. Step 6: Final answer
    x = 1,984,165.46

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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.