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Finding the Third Proportional to 963,099 and 1,430,784

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Solution

The third proportional to 963,099 and 1,430,784 is: 2,125,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,099 : 1,430,784 = 1,430,784 : x
  2. Step 2: Convert to fraction form
    963,099/1,430,784 = 1,430,784/x
  3. Step 3: Cross multiply
    963,099x = 1,430,784 × 1,430,784
  4. Step 4: Simplify right side
    963,099x = 2,047,142,854,656
  5. Step 5: Solve for x
    x = 2,047,142,854,656/963,099
  6. Step 6: Final answer
    x = 2,125,578.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.