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Finding the Third Proportional to 1,013,052 and 1,604,142

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Solution

The third proportional to 1,013,052 and 1,604,142 is: 2,540,117.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,052 : 1,604,142 = 1,604,142 : x
  2. Step 2: Convert to fraction form
    1,013,052/1,604,142 = 1,604,142/x
  3. Step 3: Cross multiply
    1,013,052x = 1,604,142 × 1,604,142
  4. Step 4: Simplify right side
    1,013,052x = 2,573,271,556,164
  5. Step 5: Solve for x
    x = 2,573,271,556,164/1,013,052
  6. Step 6: Final answer
    x = 2,540,117.94

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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.