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Finding the Third Proportional to 649,915.50 and 1,402,588.50

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Solution

The third proportional to 649,915.50 and 1,402,588.50 is: 3,026,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,915.50 : 1,402,588.50 = 1,402,588.50 : x
  2. Step 2: Convert to fraction form
    649,915.50/1,402,588.50 = 1,402,588.50/x
  3. Step 3: Cross multiply
    649,915.50x = 1,402,588.50 × 1,402,588.50
  4. Step 4: Simplify right side
    649,915.50x = 1,967,254,500,332.25
  5. Step 5: Solve for x
    x = 1,967,254,500,332.25/649,915.50
  6. Step 6: Final answer
    x = 3,026,938.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.