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Finding the Third Proportional to 727,185 and 1,562,316

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Solution

The third proportional to 727,185 and 1,562,316 is: 3,356,547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,185 : 1,562,316 = 1,562,316 : x
  2. Step 2: Convert to fraction form
    727,185/1,562,316 = 1,562,316/x
  3. Step 3: Cross multiply
    727,185x = 1,562,316 × 1,562,316
  4. Step 4: Simplify right side
    727,185x = 2,440,831,283,856
  5. Step 5: Solve for x
    x = 2,440,831,283,856/727,185
  6. Step 6: Final answer
    x = 3,356,547.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.