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Finding the Third Proportional to 498,153 and 1,031,752

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Solution

The third proportional to 498,153 and 1,031,752 is: 2,136,918.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,153 : 1,031,752 = 1,031,752 : x
  2. Step 2: Convert to fraction form
    498,153/1,031,752 = 1,031,752/x
  3. Step 3: Cross multiply
    498,153x = 1,031,752 × 1,031,752
  4. Step 4: Simplify right side
    498,153x = 1,064,512,189,504
  5. Step 5: Solve for x
    x = 1,064,512,189,504/498,153
  6. Step 6: Final answer
    x = 2,136,918.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.