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Finding the Third Proportional to 719,140 and 1,563,746

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Solution

The third proportional to 719,140 and 1,563,746 is: 3,400,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,140 : 1,563,746 = 1,563,746 : x
  2. Step 2: Convert to fraction form
    719,140/1,563,746 = 1,563,746/x
  3. Step 3: Cross multiply
    719,140x = 1,563,746 × 1,563,746
  4. Step 4: Simplify right side
    719,140x = 2,445,301,552,516
  5. Step 5: Solve for x
    x = 2,445,301,552,516/719,140
  6. Step 6: Final answer
    x = 3,400,313.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.