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Finding the Third Proportional to 1,705,716 and 3,677,139

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Solution

The third proportional to 1,705,716 and 3,677,139 is: 7,927,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,716 : 3,677,139 = 3,677,139 : x
  2. Step 2: Convert to fraction form
    1,705,716/3,677,139 = 3,677,139/x
  3. Step 3: Cross multiply
    1,705,716x = 3,677,139 × 3,677,139
  4. Step 4: Simplify right side
    1,705,716x = 13,521,351,225,321
  5. Step 5: Solve for x
    x = 13,521,351,225,321/1,705,716
  6. Step 6: Final answer
    x = 7,927,082.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.