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Finding the Third Proportional to 1,464,492 and 3,153,696

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Solution

The third proportional to 1,464,492 and 3,153,696 is: 6,791,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,492 : 3,153,696 = 3,153,696 : x
  2. Step 2: Convert to fraction form
    1,464,492/3,153,696 = 3,153,696/x
  3. Step 3: Cross multiply
    1,464,492x = 3,153,696 × 3,153,696
  4. Step 4: Simplify right side
    1,464,492x = 9,945,798,460,416
  5. Step 5: Solve for x
    x = 9,945,798,460,416/1,464,492
  6. Step 6: Final answer
    x = 6,791,295.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.