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Finding the Third Proportional to 1,032,192 and 1,563,840

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Solution

The third proportional to 1,032,192 and 1,563,840 is: 2,369,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,192 : 1,563,840 = 1,563,840 : x
  2. Step 2: Convert to fraction form
    1,032,192/1,563,840 = 1,563,840/x
  3. Step 3: Cross multiply
    1,032,192x = 1,563,840 × 1,563,840
  4. Step 4: Simplify right side
    1,032,192x = 2,445,595,545,600
  5. Step 5: Solve for x
    x = 2,445,595,545,600/1,032,192
  6. Step 6: Final answer
    x = 2,369,322.32

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.