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Finding the Third Proportional to 1,064,393 and 1,652,646

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Solution

The third proportional to 1,064,393 and 1,652,646 is: 2,566,005.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064,393 : 1,652,646 = 1,652,646 : x
  2. Step 2: Convert to fraction form
    1,064,393/1,652,646 = 1,652,646/x
  3. Step 3: Cross multiply
    1,064,393x = 1,652,646 × 1,652,646
  4. Step 4: Simplify right side
    1,064,393x = 2,731,238,801,316
  5. Step 5: Solve for x
    x = 2,731,238,801,316/1,064,393
  6. Step 6: Final answer
    x = 2,566,005.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.