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Finding the Third Proportional to 510,742 and 1,036,076

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Solution

The third proportional to 510,742 and 1,036,076 is: 2,101,752.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,742 : 1,036,076 = 1,036,076 : x
  2. Step 2: Convert to fraction form
    510,742/1,036,076 = 1,036,076/x
  3. Step 3: Cross multiply
    510,742x = 1,036,076 × 1,036,076
  4. Step 4: Simplify right side
    510,742x = 1,073,453,477,776
  5. Step 5: Solve for x
    x = 1,073,453,477,776/510,742
  6. Step 6: Final answer
    x = 2,101,752.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.