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Finding the Third Proportional to 963,101 and 1,430,787

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Solution

The third proportional to 963,101 and 1,430,787 is: 2,125,583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,101 : 1,430,787 = 1,430,787 : x
  2. Step 2: Convert to fraction form
    963,101/1,430,787 = 1,430,787/x
  3. Step 3: Cross multiply
    963,101x = 1,430,787 × 1,430,787
  4. Step 4: Simplify right side
    963,101x = 2,047,151,439,369
  5. Step 5: Solve for x
    x = 2,047,151,439,369/963,101
  6. Step 6: Final answer
    x = 2,125,583.34

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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.