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Finding the Third Proportional to 539,658 and 1,184,292

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Solution

The third proportional to 539,658 and 1,184,292 is: 2,598,956.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,658 : 1,184,292 = 1,184,292 : x
  2. Step 2: Convert to fraction form
    539,658/1,184,292 = 1,184,292/x
  3. Step 3: Cross multiply
    539,658x = 1,184,292 × 1,184,292
  4. Step 4: Simplify right side
    539,658x = 1,402,547,541,264
  5. Step 5: Solve for x
    x = 1,402,547,541,264/539,658
  6. Step 6: Final answer
    x = 2,598,956.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.