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Finding the Third Proportional to 714,064 and 1,031,784

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Solution

The third proportional to 714,064 and 1,031,784 is: 1,490,872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,064 : 1,031,784 = 1,031,784 : x
  2. Step 2: Convert to fraction form
    714,064/1,031,784 = 1,031,784/x
  3. Step 3: Cross multiply
    714,064x = 1,031,784 × 1,031,784
  4. Step 4: Simplify right side
    714,064x = 1,064,578,222,656
  5. Step 5: Solve for x
    x = 1,064,578,222,656/714,064
  6. Step 6: Final answer
    x = 1,490,872.28

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.