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Finding the Third Proportional to 971,548.50 and 1,358,598

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Solution

The third proportional to 971,548.50 and 1,358,598 is: 1,899,841.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,548.50 : 1,358,598 = 1,358,598 : x
  2. Step 2: Convert to fraction form
    971,548.50/1,358,598 = 1,358,598/x
  3. Step 3: Cross multiply
    971,548.50x = 1,358,598 × 1,358,598
  4. Step 4: Simplify right side
    971,548.50x = 1,845,788,525,604
  5. Step 5: Solve for x
    x = 1,845,788,525,604/971,548.50
  6. Step 6: Final answer
    x = 1,899,841.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.