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Finding the Third Proportional to 661,464 and 1,402,408.50

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Solution

The third proportional to 661,464 and 1,402,408.50 is: 2,973,328.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,464 : 1,402,408.50 = 1,402,408.50 : x
  2. Step 2: Convert to fraction form
    661,464/1,402,408.50 = 1,402,408.50/x
  3. Step 3: Cross multiply
    661,464x = 1,402,408.50 × 1,402,408.50
  4. Step 4: Simplify right side
    661,464x = 1,966,749,600,872.25
  5. Step 5: Solve for x
    x = 1,966,749,600,872.25/661,464
  6. Step 6: Final answer
    x = 2,973,328.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.