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Finding the Third Proportional to 546,235 and 1,136,070

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Solution

The third proportional to 546,235 and 1,136,070 is: 2,362,820.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,235 : 1,136,070 = 1,136,070 : x
  2. Step 2: Convert to fraction form
    546,235/1,136,070 = 1,136,070/x
  3. Step 3: Cross multiply
    546,235x = 1,136,070 × 1,136,070
  4. Step 4: Simplify right side
    546,235x = 1,290,655,044,900
  5. Step 5: Solve for x
    x = 1,290,655,044,900/546,235
  6. Step 6: Final answer
    x = 2,362,820.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.