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Finding the Third Proportional to 2,174,528 and 4,628,994

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Solution

The third proportional to 2,174,528 and 4,628,994 is: 9,853,901.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174,528 : 4,628,994 = 4,628,994 : x
  2. Step 2: Convert to fraction form
    2,174,528/4,628,994 = 4,628,994/x
  3. Step 3: Cross multiply
    2,174,528x = 4,628,994 × 4,628,994
  4. Step 4: Simplify right side
    2,174,528x = 21,427,585,452,036
  5. Step 5: Solve for x
    x = 21,427,585,452,036/2,174,528
  6. Step 6: Final answer
    x = 9,853,901.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.