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Finding the Third Proportional to 673,519 and 1,066,295

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Solution

The third proportional to 673,519 and 1,066,295 is: 1,688,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,519 : 1,066,295 = 1,066,295 : x
  2. Step 2: Convert to fraction form
    673,519/1,066,295 = 1,066,295/x
  3. Step 3: Cross multiply
    673,519x = 1,066,295 × 1,066,295
  4. Step 4: Simplify right side
    673,519x = 1,136,985,027,025
  5. Step 5: Solve for x
    x = 1,136,985,027,025/673,519
  6. Step 6: Final answer
    x = 1,688,126.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.