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Finding the Third Proportional to 623,178 and 1,017,495

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Solution

The third proportional to 623,178 and 1,017,495 is: 1,661,316.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,178 : 1,017,495 = 1,017,495 : x
  2. Step 2: Convert to fraction form
    623,178/1,017,495 = 1,017,495/x
  3. Step 3: Cross multiply
    623,178x = 1,017,495 × 1,017,495
  4. Step 4: Simplify right side
    623,178x = 1,035,296,075,025
  5. Step 5: Solve for x
    x = 1,035,296,075,025/623,178
  6. Step 6: Final answer
    x = 1,661,316.79

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.