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Finding the Third Proportional to 722,106 and 1,564,740

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Solution

The third proportional to 722,106 and 1,564,740 is: 3,390,653.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,106 : 1,564,740 = 1,564,740 : x
  2. Step 2: Convert to fraction form
    722,106/1,564,740 = 1,564,740/x
  3. Step 3: Cross multiply
    722,106x = 1,564,740 × 1,564,740
  4. Step 4: Simplify right side
    722,106x = 2,448,411,267,600
  5. Step 5: Solve for x
    x = 2,448,411,267,600/722,106
  6. Step 6: Final answer
    x = 3,390,653.54

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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.