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Finding the Third Proportional to 736,083 and 1,577,094

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Solution

The third proportional to 736,083 and 1,577,094 is: 3,379,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,083 : 1,577,094 = 1,577,094 : x
  2. Step 2: Convert to fraction form
    736,083/1,577,094 = 1,577,094/x
  3. Step 3: Cross multiply
    736,083x = 1,577,094 × 1,577,094
  4. Step 4: Simplify right side
    736,083x = 2,487,225,484,836
  5. Step 5: Solve for x
    x = 2,487,225,484,836/736,083
  6. Step 6: Final answer
    x = 3,379,001.40

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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.