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Finding the Third Proportional to 623,247 and 1,365,078

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Solution

The third proportional to 623,247 and 1,365,078 is: 2,989,886.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,247 : 1,365,078 = 1,365,078 : x
  2. Step 2: Convert to fraction form
    623,247/1,365,078 = 1,365,078/x
  3. Step 3: Cross multiply
    623,247x = 1,365,078 × 1,365,078
  4. Step 4: Simplify right side
    623,247x = 1,863,437,946,084
  5. Step 5: Solve for x
    x = 1,863,437,946,084/623,247
  6. Step 6: Final answer
    x = 2,989,886.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.