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Finding the Third Proportional to 630,045.84 and 968,970.09

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Solution

The third proportional to 630,045.84 and 968,970.09 is: 1,490,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,045.84 : 968,970.09 = 968,970.09 : x
  2. Step 2: Convert to fraction form
    630,045.84/968,970.09 = 968,970.09/x
  3. Step 3: Cross multiply
    630,045.84x = 968,970.09 × 968,970.09
  4. Step 4: Simplify right side
    630,045.84x = 938,903,042,581.88
  5. Step 5: Solve for x
    x = 938,903,042,581.88/630,045.84
  6. Step 6: Final answer
    x = 1,490,213.85

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.