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Finding the Third Proportional to 700,083 and 1,535,778

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Solution

The third proportional to 700,083 and 1,535,778 is: 3,369,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,083 : 1,535,778 = 1,535,778 : x
  2. Step 2: Convert to fraction form
    700,083/1,535,778 = 1,535,778/x
  3. Step 3: Cross multiply
    700,083x = 1,535,778 × 1,535,778
  4. Step 4: Simplify right side
    700,083x = 2,358,614,065,284
  5. Step 5: Solve for x
    x = 2,358,614,065,284/700,083
  6. Step 6: Final answer
    x = 3,369,049.19

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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.