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Finding the Third Proportional to 1,169,728 and 2,431,352

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Solution

The third proportional to 1,169,728 and 2,431,352 is: 5,053,715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,728 : 2,431,352 = 2,431,352 : x
  2. Step 2: Convert to fraction form
    1,169,728/2,431,352 = 2,431,352/x
  3. Step 3: Cross multiply
    1,169,728x = 2,431,352 × 2,431,352
  4. Step 4: Simplify right side
    1,169,728x = 5,911,472,547,904
  5. Step 5: Solve for x
    x = 5,911,472,547,904/1,169,728
  6. Step 6: Final answer
    x = 5,053,715.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.