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Finding the Third Proportional to 873,614 and 1,316,583

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Solution

The third proportional to 873,614 and 1,316,583 is: 1,984,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,614 : 1,316,583 = 1,316,583 : x
  2. Step 2: Convert to fraction form
    873,614/1,316,583 = 1,316,583/x
  3. Step 3: Cross multiply
    873,614x = 1,316,583 × 1,316,583
  4. Step 4: Simplify right side
    873,614x = 1,733,390,795,889
  5. Step 5: Solve for x
    x = 1,733,390,795,889/873,614
  6. Step 6: Final answer
    x = 1,984,160.96

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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.