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Finding the Third Proportional to 695,213 and 1,075,897

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Solution

The third proportional to 695,213 and 1,075,897 is: 1,665,035.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,213 : 1,075,897 = 1,075,897 : x
  2. Step 2: Convert to fraction form
    695,213/1,075,897 = 1,075,897/x
  3. Step 3: Cross multiply
    695,213x = 1,075,897 × 1,075,897
  4. Step 4: Simplify right side
    695,213x = 1,157,554,354,609
  5. Step 5: Solve for x
    x = 1,157,554,354,609/695,213
  6. Step 6: Final answer
    x = 1,665,035.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.