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Finding the Third Proportional to 1,537,970 and 3,365,442

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Solution

The third proportional to 1,537,970 and 3,365,442 is: 7,364,382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,970 : 3,365,442 = 3,365,442 : x
  2. Step 2: Convert to fraction form
    1,537,970/3,365,442 = 3,365,442/x
  3. Step 3: Cross multiply
    1,537,970x = 3,365,442 × 3,365,442
  4. Step 4: Simplify right side
    1,537,970x = 11,326,199,855,364
  5. Step 5: Solve for x
    x = 11,326,199,855,364/1,537,970
  6. Step 6: Final answer
    x = 7,364,382.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.