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Finding the Third Proportional to 497,460 and 1,065,840

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Solution

The third proportional to 497,460 and 1,065,840 is: 2,283,630.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,460 : 1,065,840 = 1,065,840 : x
  2. Step 2: Convert to fraction form
    497,460/1,065,840 = 1,065,840/x
  3. Step 3: Cross multiply
    497,460x = 1,065,840 × 1,065,840
  4. Step 4: Simplify right side
    497,460x = 1,136,014,905,600
  5. Step 5: Solve for x
    x = 1,136,014,905,600/497,460
  6. Step 6: Final answer
    x = 2,283,630.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.