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Finding the Third Proportional to 893,547 and 1,944,702

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Solution

The third proportional to 893,547 and 1,944,702 is: 4,232,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,547 : 1,944,702 = 1,944,702 : x
  2. Step 2: Convert to fraction form
    893,547/1,944,702 = 1,944,702/x
  3. Step 3: Cross multiply
    893,547x = 1,944,702 × 1,944,702
  4. Step 4: Simplify right side
    893,547x = 3,781,865,868,804
  5. Step 5: Solve for x
    x = 3,781,865,868,804/893,547
  6. Step 6: Final answer
    x = 4,232,419.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.