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Finding the Third Proportional to 662,241 and 1,430,319

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Solution

The third proportional to 662,241 and 1,430,319 is: 3,089,226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,241 : 1,430,319 = 1,430,319 : x
  2. Step 2: Convert to fraction form
    662,241/1,430,319 = 1,430,319/x
  3. Step 3: Cross multiply
    662,241x = 1,430,319 × 1,430,319
  4. Step 4: Simplify right side
    662,241x = 2,045,812,441,761
  5. Step 5: Solve for x
    x = 2,045,812,441,761/662,241
  6. Step 6: Final answer
    x = 3,089,226.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.