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Finding the Third Proportional to 644,969 and 1,506,102

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Solution

The third proportional to 644,969 and 1,506,102 is: 3,516,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,969 : 1,506,102 = 1,506,102 : x
  2. Step 2: Convert to fraction form
    644,969/1,506,102 = 1,506,102/x
  3. Step 3: Cross multiply
    644,969x = 1,506,102 × 1,506,102
  4. Step 4: Simplify right side
    644,969x = 2,268,343,234,404
  5. Step 5: Solve for x
    x = 2,268,343,234,404/644,969
  6. Step 6: Final answer
    x = 3,516,980.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.