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Finding the Third Proportional to 662,700 and 1,442,712

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Solution

The third proportional to 662,700 and 1,442,712 is: 3,140,814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,700 : 1,442,712 = 1,442,712 : x
  2. Step 2: Convert to fraction form
    662,700/1,442,712 = 1,442,712/x
  3. Step 3: Cross multiply
    662,700x = 1,442,712 × 1,442,712
  4. Step 4: Simplify right side
    662,700x = 2,081,417,914,944
  5. Step 5: Solve for x
    x = 2,081,417,914,944/662,700
  6. Step 6: Final answer
    x = 3,140,814.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.