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Finding the Third Proportional to 497,368 and 1,064,536

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Solution

The third proportional to 497,368 and 1,064,536 is: 2,278,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,368 : 1,064,536 = 1,064,536 : x
  2. Step 2: Convert to fraction form
    497,368/1,064,536 = 1,064,536/x
  3. Step 3: Cross multiply
    497,368x = 1,064,536 × 1,064,536
  4. Step 4: Simplify right side
    497,368x = 1,133,236,895,296
  5. Step 5: Solve for x
    x = 1,133,236,895,296/497,368
  6. Step 6: Final answer
    x = 2,278,467.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.