Finding the Third Proportional to 653,698 and 1,412,433
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Solution
The third proportional to 653,698 and 1,412,433 is: 3,051,817.47
Step by Step Solution
- Step 1: Write the proportion equation
653,698 : 1,412,433 = 1,412,433 : x - Step 2: Convert to fraction form
653,698/1,412,433 = 1,412,433/x - Step 3: Cross multiply
653,698x = 1,412,433 × 1,412,433 - Step 4: Simplify right side
653,698x = 1,994,966,979,489 - Step 5: Solve for x
x = 1,994,966,979,489/653,698 - Step 6: Final answer
x = 3,051,817.47
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.