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Finding the Third Proportional to 662,266 and 1,430,364

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Solution

The third proportional to 662,266 and 1,430,364 is: 3,089,304.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,266 : 1,430,364 = 1,430,364 : x
  2. Step 2: Convert to fraction form
    662,266/1,430,364 = 1,430,364/x
  3. Step 3: Cross multiply
    662,266x = 1,430,364 × 1,430,364
  4. Step 4: Simplify right side
    662,266x = 2,045,941,172,496
  5. Step 5: Solve for x
    x = 2,045,941,172,496/662,266
  6. Step 6: Final answer
    x = 3,089,304.26

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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.