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Finding the Third Proportional to 549,602 and 1,205,476

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Solution

The third proportional to 549,602 and 1,205,476 is: 2,644,044.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,602 : 1,205,476 = 1,205,476 : x
  2. Step 2: Convert to fraction form
    549,602/1,205,476 = 1,205,476/x
  3. Step 3: Cross multiply
    549,602x = 1,205,476 × 1,205,476
  4. Step 4: Simplify right side
    549,602x = 1,453,172,386,576
  5. Step 5: Solve for x
    x = 1,453,172,386,576/549,602
  6. Step 6: Final answer
    x = 2,644,044.94

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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.