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Finding the Third Proportional to 506,403 and 1,106,907

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Solution

The third proportional to 506,403 and 1,106,907 is: 2,419,502.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,403 : 1,106,907 = 1,106,907 : x
  2. Step 2: Convert to fraction form
    506,403/1,106,907 = 1,106,907/x
  3. Step 3: Cross multiply
    506,403x = 1,106,907 × 1,106,907
  4. Step 4: Simplify right side
    506,403x = 1,225,243,106,649
  5. Step 5: Solve for x
    x = 1,225,243,106,649/506,403
  6. Step 6: Final answer
    x = 2,419,502.07

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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.