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Finding the Third Proportional to 1,736,648 and 3,702,688

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Solution

The third proportional to 1,736,648 and 3,702,688 is: 7,894,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736,648 : 3,702,688 = 3,702,688 : x
  2. Step 2: Convert to fraction form
    1,736,648/3,702,688 = 3,702,688/x
  3. Step 3: Cross multiply
    1,736,648x = 3,702,688 × 3,702,688
  4. Step 4: Simplify right side
    1,736,648x = 13,709,898,425,344
  5. Step 5: Solve for x
    x = 13,709,898,425,344/1,736,648
  6. Step 6: Final answer
    x = 7,894,460.15

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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.