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Finding the Third Proportional to 653,967 and 1,411,155

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Solution

The third proportional to 653,967 and 1,411,155 is: 3,045,044.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,967 : 1,411,155 = 1,411,155 : x
  2. Step 2: Convert to fraction form
    653,967/1,411,155 = 1,411,155/x
  3. Step 3: Cross multiply
    653,967x = 1,411,155 × 1,411,155
  4. Step 4: Simplify right side
    653,967x = 1,991,358,434,025
  5. Step 5: Solve for x
    x = 1,991,358,434,025/653,967
  6. Step 6: Final answer
    x = 3,045,044.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.