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Finding the Third Proportional to 702,983 and 1,064,335

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Solution

The third proportional to 702,983 and 1,064,335 is: 1,611,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,983 : 1,064,335 = 1,064,335 : x
  2. Step 2: Convert to fraction form
    702,983/1,064,335 = 1,064,335/x
  3. Step 3: Cross multiply
    702,983x = 1,064,335 × 1,064,335
  4. Step 4: Simplify right side
    702,983x = 1,132,808,992,225
  5. Step 5: Solve for x
    x = 1,132,808,992,225/702,983
  6. Step 6: Final answer
    x = 1,611,431.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.