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Finding the Third Proportional to 736,998 and 1,562,571

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Solution

The third proportional to 736,998 and 1,562,571 is: 3,312,937.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,998 : 1,562,571 = 1,562,571 : x
  2. Step 2: Convert to fraction form
    736,998/1,562,571 = 1,562,571/x
  3. Step 3: Cross multiply
    736,998x = 1,562,571 × 1,562,571
  4. Step 4: Simplify right side
    736,998x = 2,441,628,130,041
  5. Step 5: Solve for x
    x = 2,441,628,130,041/736,998
  6. Step 6: Final answer
    x = 3,312,937.25

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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.