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Finding the Third Proportional to 673,545 and 1,430,115

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Solution

The third proportional to 673,545 and 1,430,115 is: 3,036,514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,545 : 1,430,115 = 1,430,115 : x
  2. Step 2: Convert to fraction form
    673,545/1,430,115 = 1,430,115/x
  3. Step 3: Cross multiply
    673,545x = 1,430,115 × 1,430,115
  4. Step 4: Simplify right side
    673,545x = 2,045,228,913,225
  5. Step 5: Solve for x
    x = 2,045,228,913,225/673,545
  6. Step 6: Final answer
    x = 3,036,514.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.