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Finding the Third Proportional to 709,232 and 1,567,506

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Solution

The third proportional to 709,232 and 1,567,506 is: 3,464,416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,232 : 1,567,506 = 1,567,506 : x
  2. Step 2: Convert to fraction form
    709,232/1,567,506 = 1,567,506/x
  3. Step 3: Cross multiply
    709,232x = 1,567,506 × 1,567,506
  4. Step 4: Simplify right side
    709,232x = 2,457,075,060,036
  5. Step 5: Solve for x
    x = 2,457,075,060,036/709,232
  6. Step 6: Final answer
    x = 3,464,416.52

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.