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Finding the Third Proportional to 586,051 and 1,244,043

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Solution

The third proportional to 586,051 and 1,244,043 is: 2,640,799.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,051 : 1,244,043 = 1,244,043 : x
  2. Step 2: Convert to fraction form
    586,051/1,244,043 = 1,244,043/x
  3. Step 3: Cross multiply
    586,051x = 1,244,043 × 1,244,043
  4. Step 4: Simplify right side
    586,051x = 1,547,642,985,849
  5. Step 5: Solve for x
    x = 1,547,642,985,849/586,051
  6. Step 6: Final answer
    x = 2,640,799.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.