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Finding the Third Proportional to 2,358,774 and 3,534,516

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Solution

The third proportional to 2,358,774 and 3,534,516 is: 5,296,312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358,774 : 3,534,516 = 3,534,516 : x
  2. Step 2: Convert to fraction form
    2,358,774/3,534,516 = 3,534,516/x
  3. Step 3: Cross multiply
    2,358,774x = 3,534,516 × 3,534,516
  4. Step 4: Simplify right side
    2,358,774x = 12,492,803,354,256
  5. Step 5: Solve for x
    x = 12,492,803,354,256/2,358,774
  6. Step 6: Final answer
    x = 5,296,312.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.