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Finding the Third Proportional to 702,915 and 1,089,364.50

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Solution

The third proportional to 702,915 and 1,089,364.50 is: 1,688,276.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,915 : 1,089,364.50 = 1,089,364.50 : x
  2. Step 2: Convert to fraction form
    702,915/1,089,364.50 = 1,089,364.50/x
  3. Step 3: Cross multiply
    702,915x = 1,089,364.50 × 1,089,364.50
  4. Step 4: Simplify right side
    702,915x = 1,186,715,013,860.25
  5. Step 5: Solve for x
    x = 1,186,715,013,860.25/702,915
  6. Step 6: Final answer
    x = 1,688,276.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.