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Finding the Third Proportional to 1,346,472 and 2,946,312

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Solution

The third proportional to 1,346,472 and 2,946,312 is: 6,447,036.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,472 : 2,946,312 = 2,946,312 : x
  2. Step 2: Convert to fraction form
    1,346,472/2,946,312 = 2,946,312/x
  3. Step 3: Cross multiply
    1,346,472x = 2,946,312 × 2,946,312
  4. Step 4: Simplify right side
    1,346,472x = 8,680,754,401,344
  5. Step 5: Solve for x
    x = 8,680,754,401,344/1,346,472
  6. Step 6: Final answer
    x = 6,447,036.70

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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.