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Finding the Third Proportional to 585,979.31 and 1,243,901.81

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Solution

The third proportional to 585,979.31 and 1,243,901.81 is: 2,640,522.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,979.31 : 1,243,901.81 = 1,243,901.81 : x
  2. Step 2: Convert to fraction form
    585,979.31/1,243,901.81 = 1,243,901.81/x
  3. Step 3: Cross multiply
    585,979.31x = 1,243,901.81 × 1,243,901.81
  4. Step 4: Simplify right side
    585,979.31x = 1,547,291,719,140.79
  5. Step 5: Solve for x
    x = 1,547,291,719,140.79/585,979.31
  6. Step 6: Final answer
    x = 2,640,522.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.