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Finding the Third Proportional to 1,632,894 and 3,460,465.50

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Solution

The third proportional to 1,632,894 and 3,460,465.50 is: 7,333,495.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632,894 : 3,460,465.50 = 3,460,465.50 : x
  2. Step 2: Convert to fraction form
    1,632,894/3,460,465.50 = 3,460,465.50/x
  3. Step 3: Cross multiply
    1,632,894x = 3,460,465.50 × 3,460,465.50
  4. Step 4: Simplify right side
    1,632,894x = 11,974,821,476,690.25
  5. Step 5: Solve for x
    x = 11,974,821,476,690.25/1,632,894
  6. Step 6: Final answer
    x = 7,333,495.91

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.