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Finding the Third Proportional to 2,564,210 and 3,986,295

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Solution

The third proportional to 2,564,210 and 3,986,295 is: 6,197,054.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,210 : 3,986,295 = 3,986,295 : x
  2. Step 2: Convert to fraction form
    2,564,210/3,986,295 = 3,986,295/x
  3. Step 3: Cross multiply
    2,564,210x = 3,986,295 × 3,986,295
  4. Step 4: Simplify right side
    2,564,210x = 15,890,547,827,025
  5. Step 5: Solve for x
    x = 15,890,547,827,025/2,564,210
  6. Step 6: Final answer
    x = 6,197,054.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.