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Finding the Third Proportional to 1,020,643 and 2,197,287

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Solution

The third proportional to 1,020,643 and 2,197,287 is: 4,730,420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,643 : 2,197,287 = 2,197,287 : x
  2. Step 2: Convert to fraction form
    1,020,643/2,197,287 = 2,197,287/x
  3. Step 3: Cross multiply
    1,020,643x = 2,197,287 × 2,197,287
  4. Step 4: Simplify right side
    1,020,643x = 4,828,070,160,369
  5. Step 5: Solve for x
    x = 4,828,070,160,369/1,020,643
  6. Step 6: Final answer
    x = 4,730,420.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.