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Finding the Third Proportional to 713,064 and 1,069,750

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Solution

The third proportional to 713,064 and 1,069,750 is: 1,604,856.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,064 : 1,069,750 = 1,069,750 : x
  2. Step 2: Convert to fraction form
    713,064/1,069,750 = 1,069,750/x
  3. Step 3: Cross multiply
    713,064x = 1,069,750 × 1,069,750
  4. Step 4: Simplify right side
    713,064x = 1,144,365,062,500
  5. Step 5: Solve for x
    x = 1,144,365,062,500/713,064
  6. Step 6: Final answer
    x = 1,604,856.03

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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.