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Finding the Third Proportional to 698,656.50 and 1,423,005.75

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Solution

The third proportional to 698,656.50 and 1,423,005.75 is: 2,898,341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,656.50 : 1,423,005.75 = 1,423,005.75 : x
  2. Step 2: Convert to fraction form
    698,656.50/1,423,005.75 = 1,423,005.75/x
  3. Step 3: Cross multiply
    698,656.50x = 1,423,005.75 × 1,423,005.75
  4. Step 4: Simplify right side
    698,656.50x = 2,024,945,364,533.06
  5. Step 5: Solve for x
    x = 2,024,945,364,533.06/698,656.50
  6. Step 6: Final answer
    x = 2,898,341.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.