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Finding the Third Proportional to 712,584 and 1,069,803

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Solution

The third proportional to 712,584 and 1,069,803 is: 1,606,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,584 : 1,069,803 = 1,069,803 : x
  2. Step 2: Convert to fraction form
    712,584/1,069,803 = 1,069,803/x
  3. Step 3: Cross multiply
    712,584x = 1,069,803 × 1,069,803
  4. Step 4: Simplify right side
    712,584x = 1,144,478,458,809
  5. Step 5: Solve for x
    x = 1,144,478,458,809/712,584
  6. Step 6: Final answer
    x = 1,606,096.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.