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Finding the Third Proportional to 1,708,740 and 3,638,340

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Solution

The third proportional to 1,708,740 and 3,638,340 is: 7,746,946.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708,740 : 3,638,340 = 3,638,340 : x
  2. Step 2: Convert to fraction form
    1,708,740/3,638,340 = 3,638,340/x
  3. Step 3: Cross multiply
    1,708,740x = 3,638,340 × 3,638,340
  4. Step 4: Simplify right side
    1,708,740x = 13,237,517,955,600
  5. Step 5: Solve for x
    x = 13,237,517,955,600/1,708,740
  6. Step 6: Final answer
    x = 7,746,946.85

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.