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Finding the Third Proportional to 763,410 and 1,658,364

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Solution

The third proportional to 763,410 and 1,658,364 is: 3,602,482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,410 : 1,658,364 = 1,658,364 : x
  2. Step 2: Convert to fraction form
    763,410/1,658,364 = 1,658,364/x
  3. Step 3: Cross multiply
    763,410x = 1,658,364 × 1,658,364
  4. Step 4: Simplify right side
    763,410x = 2,750,171,156,496
  5. Step 5: Solve for x
    x = 2,750,171,156,496/763,410
  6. Step 6: Final answer
    x = 3,602,482.49

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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.