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Finding the Third Proportional to 720,316 and 1,562,728

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Solution

The third proportional to 720,316 and 1,562,728 is: 3,390,343.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,316 : 1,562,728 = 1,562,728 : x
  2. Step 2: Convert to fraction form
    720,316/1,562,728 = 1,562,728/x
  3. Step 3: Cross multiply
    720,316x = 1,562,728 × 1,562,728
  4. Step 4: Simplify right side
    720,316x = 2,442,118,801,984
  5. Step 5: Solve for x
    x = 2,442,118,801,984/720,316
  6. Step 6: Final answer
    x = 3,390,343.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.