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Finding the Third Proportional to 651,907 and 1,037,316

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Solution

The third proportional to 651,907 and 1,037,316 is: 1,650,579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,907 : 1,037,316 = 1,037,316 : x
  2. Step 2: Convert to fraction form
    651,907/1,037,316 = 1,037,316/x
  3. Step 3: Cross multiply
    651,907x = 1,037,316 × 1,037,316
  4. Step 4: Simplify right side
    651,907x = 1,076,024,483,856
  5. Step 5: Solve for x
    x = 1,076,024,483,856/651,907
  6. Step 6: Final answer
    x = 1,650,579.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.