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Finding the Third Proportional to 713,127 and 1,566,222

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Solution

The third proportional to 713,127 and 1,566,222 is: 3,439,852.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,127 : 1,566,222 = 1,566,222 : x
  2. Step 2: Convert to fraction form
    713,127/1,566,222 = 1,566,222/x
  3. Step 3: Cross multiply
    713,127x = 1,566,222 × 1,566,222
  4. Step 4: Simplify right side
    713,127x = 2,453,051,353,284
  5. Step 5: Solve for x
    x = 2,453,051,353,284/713,127
  6. Step 6: Final answer
    x = 3,439,852.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.