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Finding the Third Proportional to 656,442 and 1,406,196

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Solution

The third proportional to 656,442 and 1,406,196 is: 3,012,280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,442 : 1,406,196 = 1,406,196 : x
  2. Step 2: Convert to fraction form
    656,442/1,406,196 = 1,406,196/x
  3. Step 3: Cross multiply
    656,442x = 1,406,196 × 1,406,196
  4. Step 4: Simplify right side
    656,442x = 1,977,387,190,416
  5. Step 5: Solve for x
    x = 1,977,387,190,416/656,442
  6. Step 6: Final answer
    x = 3,012,280.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.