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Finding the Third Proportional to 1,609,024 and 2,385,702

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Solution

The third proportional to 1,609,024 and 2,385,702 is: 3,537,283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,024 : 2,385,702 = 2,385,702 : x
  2. Step 2: Convert to fraction form
    1,609,024/2,385,702 = 2,385,702/x
  3. Step 3: Cross multiply
    1,609,024x = 2,385,702 × 2,385,702
  4. Step 4: Simplify right side
    1,609,024x = 5,691,574,032,804
  5. Step 5: Solve for x
    x = 5,691,574,032,804/1,609,024
  6. Step 6: Final answer
    x = 3,537,283.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.