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Finding the Third Proportional to 975,984 and 1,558,368

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Solution

The third proportional to 975,984 and 1,558,368 is: 2,488,269.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,984 : 1,558,368 = 1,558,368 : x
  2. Step 2: Convert to fraction form
    975,984/1,558,368 = 1,558,368/x
  3. Step 3: Cross multiply
    975,984x = 1,558,368 × 1,558,368
  4. Step 4: Simplify right side
    975,984x = 2,428,510,823,424
  5. Step 5: Solve for x
    x = 2,428,510,823,424/975,984
  6. Step 6: Final answer
    x = 2,488,269.09

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.