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Finding the Third Proportional to 735,196 and 1,124,423

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Solution

The third proportional to 735,196 and 1,124,423 is: 1,719,714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,196 : 1,124,423 = 1,124,423 : x
  2. Step 2: Convert to fraction form
    735,196/1,124,423 = 1,124,423/x
  3. Step 3: Cross multiply
    735,196x = 1,124,423 × 1,124,423
  4. Step 4: Simplify right side
    735,196x = 1,264,327,082,929
  5. Step 5: Solve for x
    x = 1,264,327,082,929/735,196
  6. Step 6: Final answer
    x = 1,719,714.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.