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Finding the Third Proportional to 704,188 and 1,537,406

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Solution

The third proportional to 704,188 and 1,537,406 is: 3,356,514.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,188 : 1,537,406 = 1,537,406 : x
  2. Step 2: Convert to fraction form
    704,188/1,537,406 = 1,537,406/x
  3. Step 3: Cross multiply
    704,188x = 1,537,406 × 1,537,406
  4. Step 4: Simplify right side
    704,188x = 2,363,617,208,836
  5. Step 5: Solve for x
    x = 2,363,617,208,836/704,188
  6. Step 6: Final answer
    x = 3,356,514.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.