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Finding the Third Proportional to 971,838 and 2,120,701.50

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Solution

The third proportional to 971,838 and 2,120,701.50 is: 4,627,700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,838 : 2,120,701.50 = 2,120,701.50 : x
  2. Step 2: Convert to fraction form
    971,838/2,120,701.50 = 2,120,701.50/x
  3. Step 3: Cross multiply
    971,838x = 2,120,701.50 × 2,120,701.50
  4. Step 4: Simplify right side
    971,838x = 4,497,374,852,102.25
  5. Step 5: Solve for x
    x = 4,497,374,852,102.25/971,838
  6. Step 6: Final answer
    x = 4,627,700.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.