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Finding the Third Proportional to 540,588 and 1,173,408

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Solution

The third proportional to 540,588 and 1,173,408 is: 2,547,016.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,588 : 1,173,408 = 1,173,408 : x
  2. Step 2: Convert to fraction form
    540,588/1,173,408 = 1,173,408/x
  3. Step 3: Cross multiply
    540,588x = 1,173,408 × 1,173,408
  4. Step 4: Simplify right side
    540,588x = 1,376,886,334,464
  5. Step 5: Solve for x
    x = 1,376,886,334,464/540,588
  6. Step 6: Final answer
    x = 2,547,016.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.