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Finding the Third Proportional to 503,607 and 1,087,641

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Solution

The third proportional to 503,607 and 1,087,641 is: 2,348,980.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,607 : 1,087,641 = 1,087,641 : x
  2. Step 2: Convert to fraction form
    503,607/1,087,641 = 1,087,641/x
  3. Step 3: Cross multiply
    503,607x = 1,087,641 × 1,087,641
  4. Step 4: Simplify right side
    503,607x = 1,182,962,944,881
  5. Step 5: Solve for x
    x = 1,182,962,944,881/503,607
  6. Step 6: Final answer
    x = 2,348,980.35

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Why These Related Problems?

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