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Finding the Third Proportional to 400,547 and 857,956

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Solution

The third proportional to 400,547 and 857,956 is: 1,837,708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,547 : 857,956 = 857,956 : x
  2. Step 2: Convert to fraction form
    400,547/857,956 = 857,956/x
  3. Step 3: Cross multiply
    400,547x = 857,956 × 857,956
  4. Step 4: Simplify right side
    400,547x = 736,088,497,936
  5. Step 5: Solve for x
    x = 736,088,497,936/400,547
  6. Step 6: Final answer
    x = 1,837,708.18

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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.