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Finding the Third Proportional to 528,074 and 1,245,365

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Solution

The third proportional to 528,074 and 1,245,365 is: 2,936,963.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,074 : 1,245,365 = 1,245,365 : x
  2. Step 2: Convert to fraction form
    528,074/1,245,365 = 1,245,365/x
  3. Step 3: Cross multiply
    528,074x = 1,245,365 × 1,245,365
  4. Step 4: Simplify right side
    528,074x = 1,550,933,983,225
  5. Step 5: Solve for x
    x = 1,550,933,983,225/528,074
  6. Step 6: Final answer
    x = 2,936,963.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.