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Finding the Third Proportional to 706,545 and 1,091,569.50

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Solution

The third proportional to 706,545 and 1,091,569.50 is: 1,686,409.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,545 : 1,091,569.50 = 1,091,569.50 : x
  2. Step 2: Convert to fraction form
    706,545/1,091,569.50 = 1,091,569.50/x
  3. Step 3: Cross multiply
    706,545x = 1,091,569.50 × 1,091,569.50
  4. Step 4: Simplify right side
    706,545x = 1,191,523,973,330.25
  5. Step 5: Solve for x
    x = 1,191,523,973,330.25/706,545
  6. Step 6: Final answer
    x = 1,686,409.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.