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Finding the Third Proportional to 1,547,340 and 3,363,696

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Solution

The third proportional to 1,547,340 and 3,363,696 is: 7,312,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547,340 : 3,363,696 = 3,363,696 : x
  2. Step 2: Convert to fraction form
    1,547,340/3,363,696 = 3,363,696/x
  3. Step 3: Cross multiply
    1,547,340x = 3,363,696 × 3,363,696
  4. Step 4: Simplify right side
    1,547,340x = 11,314,450,780,416
  5. Step 5: Solve for x
    x = 11,314,450,780,416/1,547,340
  6. Step 6: Final answer
    x = 7,312,194.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.