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Finding the Third Proportional to 1,680,916.22 and 2,523,095.16

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Solution

The third proportional to 1,680,916.22 and 2,523,095.16 is: 3,787,225.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,916.22 : 2,523,095.16 = 2,523,095.16 : x
  2. Step 2: Convert to fraction form
    1,680,916.22/2,523,095.16 = 2,523,095.16/x
  3. Step 3: Cross multiply
    1,680,916.22x = 2,523,095.16 × 2,523,095.16
  4. Step 4: Simplify right side
    1,680,916.22x = 6,366,009,167,492.21
  5. Step 5: Solve for x
    x = 6,366,009,167,492.21/1,680,916.22
  6. Step 6: Final answer
    x = 3,787,225.74

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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.