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Finding the Third Proportional to 623,407 and 1,346,498

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Solution

The third proportional to 623,407 and 1,346,498 is: 2,908,303.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,407 : 1,346,498 = 1,346,498 : x
  2. Step 2: Convert to fraction form
    623,407/1,346,498 = 1,346,498/x
  3. Step 3: Cross multiply
    623,407x = 1,346,498 × 1,346,498
  4. Step 4: Simplify right side
    623,407x = 1,813,056,864,004
  5. Step 5: Solve for x
    x = 1,813,056,864,004/623,407
  6. Step 6: Final answer
    x = 2,908,303.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.