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Finding the Third Proportional to 1,600,320 and 3,475,392

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Solution

The third proportional to 1,600,320 and 3,475,392 is: 7,547,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600,320 : 3,475,392 = 3,475,392 : x
  2. Step 2: Convert to fraction form
    1,600,320/3,475,392 = 3,475,392/x
  3. Step 3: Cross multiply
    1,600,320x = 3,475,392 × 3,475,392
  4. Step 4: Simplify right side
    1,600,320x = 12,078,349,553,664
  5. Step 5: Solve for x
    x = 12,078,349,553,664/1,600,320
  6. Step 6: Final answer
    x = 7,547,458.98

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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.