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Finding the Third Proportional to 1,272,465 and 2,773,547

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Solution

The third proportional to 1,272,465 and 2,773,547 is: 6,045,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272,465 : 2,773,547 = 2,773,547 : x
  2. Step 2: Convert to fraction form
    1,272,465/2,773,547 = 2,773,547/x
  3. Step 3: Cross multiply
    1,272,465x = 2,773,547 × 2,773,547
  4. Step 4: Simplify right side
    1,272,465x = 7,692,562,961,209
  5. Step 5: Solve for x
    x = 7,692,562,961,209/1,272,465
  6. Step 6: Final answer
    x = 6,045,402.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.