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Finding the Third Proportional to 763,412 and 1,658,368

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Solution

The third proportional to 763,412 and 1,658,368 is: 3,602,490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,412 : 1,658,368 = 1,658,368 : x
  2. Step 2: Convert to fraction form
    763,412/1,658,368 = 1,658,368/x
  3. Step 3: Cross multiply
    763,412x = 1,658,368 × 1,658,368
  4. Step 4: Simplify right side
    763,412x = 2,750,184,423,424
  5. Step 5: Solve for x
    x = 2,750,184,423,424/763,412
  6. Step 6: Final answer
    x = 3,602,490.43

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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.