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Finding the Third Proportional to 1,346,465 and 2,946,298

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Solution

The third proportional to 1,346,465 and 2,946,298 is: 6,447,008.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,465 : 2,946,298 = 2,946,298 : x
  2. Step 2: Convert to fraction form
    1,346,465/2,946,298 = 2,946,298/x
  3. Step 3: Cross multiply
    1,346,465x = 2,946,298 × 2,946,298
  4. Step 4: Simplify right side
    1,346,465x = 8,680,671,904,804
  5. Step 5: Solve for x
    x = 8,680,671,904,804/1,346,465
  6. Step 6: Final answer
    x = 6,447,008.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.