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Finding the Third Proportional to 1,607,094 and 3,432,142

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Solution

The third proportional to 1,607,094 and 3,432,142 is: 7,329,750.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607,094 : 3,432,142 = 3,432,142 : x
  2. Step 2: Convert to fraction form
    1,607,094/3,432,142 = 3,432,142/x
  3. Step 3: Cross multiply
    1,607,094x = 3,432,142 × 3,432,142
  4. Step 4: Simplify right side
    1,607,094x = 11,779,598,708,164
  5. Step 5: Solve for x
    x = 11,779,598,708,164/1,607,094
  6. Step 6: Final answer
    x = 7,329,750.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.