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Finding the Third Proportional to 669,294 and 1,019,623.50

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Solution

The third proportional to 669,294 and 1,019,623.50 is: 1,553,326.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,294 : 1,019,623.50 = 1,019,623.50 : x
  2. Step 2: Convert to fraction form
    669,294/1,019,623.50 = 1,019,623.50/x
  3. Step 3: Cross multiply
    669,294x = 1,019,623.50 × 1,019,623.50
  4. Step 4: Simplify right side
    669,294x = 1,039,632,081,752.25
  5. Step 5: Solve for x
    x = 1,039,632,081,752.25/669,294
  6. Step 6: Final answer
    x = 1,553,326.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.