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Finding the Third Proportional to 702,456 and 1,523,011

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Solution

The third proportional to 702,456 and 1,523,011 is: 3,302,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,456 : 1,523,011 = 1,523,011 : x
  2. Step 2: Convert to fraction form
    702,456/1,523,011 = 1,523,011/x
  3. Step 3: Cross multiply
    702,456x = 1,523,011 × 1,523,011
  4. Step 4: Simplify right side
    702,456x = 2,319,562,506,121
  5. Step 5: Solve for x
    x = 2,319,562,506,121/702,456
  6. Step 6: Final answer
    x = 3,302,075.16

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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.