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Finding the Third Proportional to 650,064 and 1,038,072

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Solution

The third proportional to 650,064 and 1,038,072 is: 1,657,672.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,064 : 1,038,072 = 1,038,072 : x
  2. Step 2: Convert to fraction form
    650,064/1,038,072 = 1,038,072/x
  3. Step 3: Cross multiply
    650,064x = 1,038,072 × 1,038,072
  4. Step 4: Simplify right side
    650,064x = 1,077,593,477,184
  5. Step 5: Solve for x
    x = 1,077,593,477,184/650,064
  6. Step 6: Final answer
    x = 1,657,672.90

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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.