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Finding the Third Proportional to 759,943 and 1,185,922.50

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Solution

The third proportional to 759,943 and 1,185,922.50 is: 1,850,681.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,943 : 1,185,922.50 = 1,185,922.50 : x
  2. Step 2: Convert to fraction form
    759,943/1,185,922.50 = 1,185,922.50/x
  3. Step 3: Cross multiply
    759,943x = 1,185,922.50 × 1,185,922.50
  4. Step 4: Simplify right side
    759,943x = 1,406,412,176,006.25
  5. Step 5: Solve for x
    x = 1,406,412,176,006.25/759,943
  6. Step 6: Final answer
    x = 1,850,681.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.