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Finding the Third Proportional to 943,716 and 2,053,312

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Solution

The third proportional to 943,716 and 2,053,312 is: 4,467,541.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,716 : 2,053,312 = 2,053,312 : x
  2. Step 2: Convert to fraction form
    943,716/2,053,312 = 2,053,312/x
  3. Step 3: Cross multiply
    943,716x = 2,053,312 × 2,053,312
  4. Step 4: Simplify right side
    943,716x = 4,216,090,169,344
  5. Step 5: Solve for x
    x = 4,216,090,169,344/943,716
  6. Step 6: Final answer
    x = 4,467,541.26

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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.