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Finding the Third Proportional to 1,013,164 and 1,604,315

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Solution

The third proportional to 1,013,164 and 1,604,315 is: 2,540,384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,164 : 1,604,315 = 1,604,315 : x
  2. Step 2: Convert to fraction form
    1,013,164/1,604,315 = 1,604,315/x
  3. Step 3: Cross multiply
    1,013,164x = 1,604,315 × 1,604,315
  4. Step 4: Simplify right side
    1,013,164x = 2,573,826,619,225
  5. Step 5: Solve for x
    x = 2,573,826,619,225/1,013,164
  6. Step 6: Final answer
    x = 2,540,384.99

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.