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Finding the Third Proportional to 594,106.31 and 1,282,916.81

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Solution

The third proportional to 594,106.31 and 1,282,916.81 is: 2,770,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,106.31 : 1,282,916.81 = 1,282,916.81 : x
  2. Step 2: Convert to fraction form
    594,106.31/1,282,916.81 = 1,282,916.81/x
  3. Step 3: Cross multiply
    594,106.31x = 1,282,916.81 × 1,282,916.81
  4. Step 4: Simplify right side
    594,106.31x = 1,645,875,547,795.16
  5. Step 5: Solve for x
    x = 1,645,875,547,795.16/594,106.31
  6. Step 6: Final answer
    x = 2,770,338.43

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Why These Related Problems?

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