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Finding the Third Proportional to 699,854 and 1,535,303

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Solution

The third proportional to 699,854 and 1,535,303 is: 3,368,067.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,854 : 1,535,303 = 1,535,303 : x
  2. Step 2: Convert to fraction form
    699,854/1,535,303 = 1,535,303/x
  3. Step 3: Cross multiply
    699,854x = 1,535,303 × 1,535,303
  4. Step 4: Simplify right side
    699,854x = 2,357,155,301,809
  5. Step 5: Solve for x
    x = 2,357,155,301,809/699,854
  6. Step 6: Final answer
    x = 3,368,067.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.