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Finding the Third Proportional to 475,346 and 1,032,660

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Solution

The third proportional to 475,346 and 1,032,660 is: 2,243,390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,346 : 1,032,660 = 1,032,660 : x
  2. Step 2: Convert to fraction form
    475,346/1,032,660 = 1,032,660/x
  3. Step 3: Cross multiply
    475,346x = 1,032,660 × 1,032,660
  4. Step 4: Simplify right side
    475,346x = 1,066,386,675,600
  5. Step 5: Solve for x
    x = 1,066,386,675,600/475,346
  6. Step 6: Final answer
    x = 2,243,390.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.