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Finding the Third Proportional to 473,294 and 1,013,086

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Solution

The third proportional to 473,294 and 1,013,086 is: 2,168,511.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,294 : 1,013,086 = 1,013,086 : x
  2. Step 2: Convert to fraction form
    473,294/1,013,086 = 1,013,086/x
  3. Step 3: Cross multiply
    473,294x = 1,013,086 × 1,013,086
  4. Step 4: Simplify right side
    473,294x = 1,026,343,243,396
  5. Step 5: Solve for x
    x = 1,026,343,243,396/473,294
  6. Step 6: Final answer
    x = 2,168,511.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.