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Finding the Third Proportional to 736,991 and 1,562,557

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Solution

The third proportional to 736,991 and 1,562,557 is: 3,312,909.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,991 : 1,562,557 = 1,562,557 : x
  2. Step 2: Convert to fraction form
    736,991/1,562,557 = 1,562,557/x
  3. Step 3: Cross multiply
    736,991x = 1,562,557 × 1,562,557
  4. Step 4: Simplify right side
    736,991x = 2,441,584,378,249
  5. Step 5: Solve for x
    x = 2,441,584,378,249/736,991
  6. Step 6: Final answer
    x = 3,312,909.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.