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Finding the Third Proportional to 705,127 and 1,447,798

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Solution

The third proportional to 705,127 and 1,447,798 is: 2,972,683.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,127 : 1,447,798 = 1,447,798 : x
  2. Step 2: Convert to fraction form
    705,127/1,447,798 = 1,447,798/x
  3. Step 3: Cross multiply
    705,127x = 1,447,798 × 1,447,798
  4. Step 4: Simplify right side
    705,127x = 2,096,119,048,804
  5. Step 5: Solve for x
    x = 2,096,119,048,804/705,127
  6. Step 6: Final answer
    x = 2,972,683.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.