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Finding the Third Proportional to 717,888 and 1,106,784

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Solution

The third proportional to 717,888 and 1,106,784 is: 1,706,353.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,888 : 1,106,784 = 1,106,784 : x
  2. Step 2: Convert to fraction form
    717,888/1,106,784 = 1,106,784/x
  3. Step 3: Cross multiply
    717,888x = 1,106,784 × 1,106,784
  4. Step 4: Simplify right side
    717,888x = 1,224,970,822,656
  5. Step 5: Solve for x
    x = 1,224,970,822,656/717,888
  6. Step 6: Final answer
    x = 1,706,353.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.