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Finding the Third Proportional to 843,498 and 1,349,068.50

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Solution

The third proportional to 843,498 and 1,349,068.50 is: 2,157,664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,498 : 1,349,068.50 = 1,349,068.50 : x
  2. Step 2: Convert to fraction form
    843,498/1,349,068.50 = 1,349,068.50/x
  3. Step 3: Cross multiply
    843,498x = 1,349,068.50 × 1,349,068.50
  4. Step 4: Simplify right side
    843,498x = 1,819,985,817,692.25
  5. Step 5: Solve for x
    x = 1,819,985,817,692.25/843,498
  6. Step 6: Final answer
    x = 2,157,664.65

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.