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Finding the Third Proportional to 716,430 and 1,506,588

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Solution

The third proportional to 716,430 and 1,506,588 is: 3,168,219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,430 : 1,506,588 = 1,506,588 : x
  2. Step 2: Convert to fraction form
    716,430/1,506,588 = 1,506,588/x
  3. Step 3: Cross multiply
    716,430x = 1,506,588 × 1,506,588
  4. Step 4: Simplify right side
    716,430x = 2,269,807,401,744
  5. Step 5: Solve for x
    x = 2,269,807,401,744/716,430
  6. Step 6: Final answer
    x = 3,168,219.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.