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Finding the Third Proportional to 1,306,038 and 1,914,345

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Solution

The third proportional to 1,306,038 and 1,914,345 is: 2,805,980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,038 : 1,914,345 = 1,914,345 : x
  2. Step 2: Convert to fraction form
    1,306,038/1,914,345 = 1,914,345/x
  3. Step 3: Cross multiply
    1,306,038x = 1,914,345 × 1,914,345
  4. Step 4: Simplify right side
    1,306,038x = 3,664,716,779,025
  5. Step 5: Solve for x
    x = 3,664,716,779,025/1,306,038
  6. Step 6: Final answer
    x = 2,805,980.21

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.