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Finding the Third Proportional to 971,068.50 and 2,107,255.50

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Solution

The third proportional to 971,068.50 and 2,107,255.50 is: 4,572,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,068.50 : 2,107,255.50 = 2,107,255.50 : x
  2. Step 2: Convert to fraction form
    971,068.50/2,107,255.50 = 2,107,255.50/x
  3. Step 3: Cross multiply
    971,068.50x = 2,107,255.50 × 2,107,255.50
  4. Step 4: Simplify right side
    971,068.50x = 4,440,525,742,280.25
  5. Step 5: Solve for x
    x = 4,440,525,742,280.25/971,068.50
  6. Step 6: Final answer
    x = 4,572,824.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.