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Finding the Third Proportional to 470,385 and 1,032,129

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Solution

The third proportional to 470,385 and 1,032,129 is: 2,264,719.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,385 : 1,032,129 = 1,032,129 : x
  2. Step 2: Convert to fraction form
    470,385/1,032,129 = 1,032,129/x
  3. Step 3: Cross multiply
    470,385x = 1,032,129 × 1,032,129
  4. Step 4: Simplify right side
    470,385x = 1,065,290,272,641
  5. Step 5: Solve for x
    x = 1,065,290,272,641/470,385
  6. Step 6: Final answer
    x = 2,264,719.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.