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Finding the Third Proportional to 569,706 and 881,854

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Solution

The third proportional to 569,706 and 881,854 is: 1,365,031.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,706 : 881,854 = 881,854 : x
  2. Step 2: Convert to fraction form
    569,706/881,854 = 881,854/x
  3. Step 3: Cross multiply
    569,706x = 881,854 × 881,854
  4. Step 4: Simplify right side
    569,706x = 777,666,477,316
  5. Step 5: Solve for x
    x = 777,666,477,316/569,706
  6. Step 6: Final answer
    x = 1,365,031.22

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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.