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Finding the Third Proportional to 662,237 and 1,430,308

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Solution

The third proportional to 662,237 and 1,430,308 is: 3,089,197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,237 : 1,430,308 = 1,430,308 : x
  2. Step 2: Convert to fraction form
    662,237/1,430,308 = 1,430,308/x
  3. Step 3: Cross multiply
    662,237x = 1,430,308 × 1,430,308
  4. Step 4: Simplify right side
    662,237x = 2,045,780,974,864
  5. Step 5: Solve for x
    x = 2,045,780,974,864/662,237
  6. Step 6: Final answer
    x = 3,089,197.64

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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.