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Finding the Third Proportional to 497,461 and 1,065,897

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Solution

The third proportional to 497,461 and 1,065,897 is: 2,283,870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,461 : 1,065,897 = 1,065,897 : x
  2. Step 2: Convert to fraction form
    497,461/1,065,897 = 1,065,897/x
  3. Step 3: Cross multiply
    497,461x = 1,065,897 × 1,065,897
  4. Step 4: Simplify right side
    497,461x = 1,136,136,414,609
  5. Step 5: Solve for x
    x = 1,136,136,414,609/497,461
  6. Step 6: Final answer
    x = 2,283,870.32

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Why These Related Problems?

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