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Finding the Third Proportional to 963,312.75 and 2,098,244.25

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Solution

The third proportional to 963,312.75 and 2,098,244.25 is: 4,570,300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,312.75 : 2,098,244.25 = 2,098,244.25 : x
  2. Step 2: Convert to fraction form
    963,312.75/2,098,244.25 = 2,098,244.25/x
  3. Step 3: Cross multiply
    963,312.75x = 2,098,244.25 × 2,098,244.25
  4. Step 4: Simplify right side
    963,312.75x = 4,402,628,932,658.06
  5. Step 5: Solve for x
    x = 4,402,628,932,658.06/963,312.75
  6. Step 6: Final answer
    x = 4,570,300.70

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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.