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Finding the Third Proportional to 346,974 and 756,822

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Solution

The third proportional to 346,974 and 756,822 is: 1,650,785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,974 : 756,822 = 756,822 : x
  2. Step 2: Convert to fraction form
    346,974/756,822 = 756,822/x
  3. Step 3: Cross multiply
    346,974x = 756,822 × 756,822
  4. Step 4: Simplify right side
    346,974x = 572,779,539,684
  5. Step 5: Solve for x
    x = 572,779,539,684/346,974
  6. Step 6: Final answer
    x = 1,650,785.19

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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.