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Finding the Third Proportional to 623,173 and 1,017,488

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Solution

The third proportional to 623,173 and 1,017,488 is: 1,661,307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,173 : 1,017,488 = 1,017,488 : x
  2. Step 2: Convert to fraction form
    623,173/1,017,488 = 1,017,488/x
  3. Step 3: Cross multiply
    623,173x = 1,017,488 × 1,017,488
  4. Step 4: Simplify right side
    623,173x = 1,035,281,830,144
  5. Step 5: Solve for x
    x = 1,035,281,830,144/623,173
  6. Step 6: Final answer
    x = 1,661,307.26

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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.